{"id":27089,"date":"2026-10-16T09:08:50","date_gmt":"2026-10-16T09:08:50","guid":{"rendered":"https:\/\/blog.oratrics.com\/?p=27089"},"modified":"2026-10-16T11:01:23","modified_gmt":"2026-10-16T11:01:23","slug":"find-the-perfect-square-between-30-and-40","status":"publish","type":"post","link":"https:\/\/oratrics.com\/blogs\/uncategorized\/find-the-perfect-square-between-30-and-40\/","title":{"rendered":"Find the Perfect Square Between 30 and 40: Answer, Method to Solve"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"27089\" class=\"elementor elementor-27089\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d0ca3ac elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"d0ca3ac\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-23f87d2\" data-id=\"23f87d2\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-b648327\" data-id=\"b648327\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fff5617 elementor-widget elementor-widget-heading\" data-id=\"fff5617\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Find the Perfect Square Between 30 and 40: The Answer, and How to Get There Yourself<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0de55d0 elementor-widget elementor-widget-text-editor\" data-id=\"0de55d0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><b>What\u2019s the Answer?<\/b><\/p><p><span style=\"font-weight: 400;\">It\u2019s <\/span><b>36<\/b><span style=\"font-weight: 400;\">.<\/span><\/p><p><span style=\"font-weight: 400;\">That\u2019s the one perfect square sitting between 30 and 40, and it comes from 6 \u00d7 6. If you were hunting for a quick answer for homework, you\u2019ve got it.<\/span><\/p><p><span style=\"font-weight: 400;\">But if you\u2019ve ever stared at a question like this and thought, \u201cHow would I even start?\u201d, stay with me for a few minutes. Once you see the idea behind it, you\u2019ll be able to answer the same question for 50 and 60, or 100 and 150, without needing to look anything up.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4c44b1a elementor-align-center elementor-widget elementor-widget-button\" data-id=\"4c44b1a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/demo.oratrics.com\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Book a Free Demo Today<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d98bdd0 elementor-widget elementor-widget-image\" data-id=\"d98bdd0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"647\" src=\"https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/Time-Matters_-A-Speech-on-Value-1024x647.webp\" class=\"attachment-large size-large wp-image-24739\" alt=\"Speech on value of time with a confident schoolboy, clock, and hourglass illustrating the importance of time management.\" srcset=\"https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/Time-Matters_-A-Speech-on-Value-1024x647.webp 1024w, https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/Time-Matters_-A-Speech-on-Value-300x190.webp 300w, https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/Time-Matters_-A-Speech-on-Value-768x485.webp 768w, https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/Time-Matters_-A-Speech-on-Value-1536x970.webp 1536w, https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/Time-Matters_-A-Speech-on-Value.webp 1578w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-58e524e\" data-id=\"58e524e\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fb16956 elementor-widget elementor-widget-html\" data-id=\"fb16956\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\r\n<link href=\"https:\/\/fonts.googleapis.com\/css2?family=Poppins:wght@400;500;600;700&display=swap\" rel=\"stylesheet\">\r\n\r\n<div class=\"toc-wrapper\">\r\n    \r\n    \r\n    <div class=\"custom-toc\" id=\"custom-toc\">\r\n        <div class=\"toc-title\">\r\n            \u2630 Table of Contents\r\n        <\/div>\r\n        <ul class=\"toc-list\" id=\"toc-list\"><\/ul>\r\n    <\/div>\r\n    \r\n<\/div>\r\n\r\n<style>\r\n\/* Parent Fixed Wrapper holding both components together *\/\r\n.toc-wrapper {\r\n    position: fixed;\r\n    top: 150px; \r\n    z-index: 1 !important;\r\n    right: 70px;\r\n    width: 100%;\r\n    max-width: 340px;\r\n    font-family: 'Poppins', sans-serif;\r\n}\r\n\r\n\/* Image Styling *\/\r\n.toc-sticky-image {\r\n    width: 100%;\r\n    height: auto;\r\n    border-radius: 22px; \r\n    margin-bottom: 15px; \r\n    box-shadow: 0 4px 12px rgba(0,0,0,0.05);\r\n    display: block;\r\n}\r\n\r\n\/* TOC Container *\/\r\n.custom-toc {\r\n    background: #fff;\r\n    border: 1px solid #dfe3ea;\r\n    border-radius: 22px;\r\n    padding: 0px 28px;\r\n    width: 100%;\r\n    max-height: 24rem; \r\n    overflow-y: auto;\r\n    box-shadow: 0 2px 8px rgba(0,0,0,0.03);\r\n}\r\n\r\n\/* Title *\/\r\n.custom-toc .toc-title {\r\n    font-size: 25px;\r\n    font-weight: 700;\r\n    color: #17233c;\r\n    position: sticky;\r\n    padding: 0.6rem 0rem;\r\n    background-color: white;\r\n    top: 0px;\r\n    margin-bottom: 12px;\r\n    display: flex;\r\n    align-items: center;\r\n    gap: 10px;\r\n    z-index: 2;\r\n}\r\n\r\n\/* List *\/\r\n.custom-toc .toc-list {\r\n    list-style: none;\r\n    margin: 0;\r\n    padding: 0;\r\n}\r\n\r\n\/* Links *\/\r\n.custom-toc .toc-list li {\r\n    margin-bottom: 22px;\r\n}\r\n\r\n.custom-toc .toc-list a {\r\n    text-decoration: none;\r\n    color: #6b7a99;\r\n    font-size: 14px;\r\n    font-weight: 600;\r\n    transition: 0.3s ease;\r\n    display: inline-block;\r\n}\r\n\r\n\/* Hover Color *\/\r\n.custom-toc .toc-list a:hover {\r\n    color: #8B0000;\r\n}\r\n\r\n\/* H2 Indent *\/\r\n.custom-toc .toc-list .toc-h2 {\r\n    padding-left: 18px;\r\n    font-size: 14px;\r\n}\r\n\r\n\/* Mobile Responsive Adjustments *\/\r\n@media(max-width:768px) {\r\n    .toc-wrapper {\r\n        position: relative;\r\n        top: 0;\r\n        z-index: 1;\r\n        right: 0;\r\n        max-width: 100%;\r\n        margin-bottom: 30px;\r\n    }\r\n\r\n    .custom-toc {\r\n        max-height: none; \r\n        overflow-y: visible;\r\n    }\r\n\r\n    .custom-toc .toc-title {\r\n        font-size: 25px;\r\n    }\r\n\r\n    .custom-toc .toc-list a {\r\n        font-size: 14px;\r\n    }\r\n}\r\n<\/style>\r\n\r\n<script>\r\ndocument.addEventListener(\"DOMContentLoaded\", function () {\r\n    const tocList = document.getElementById(\"toc-list\");\r\n    const h1 = document.querySelector(\"h1\");\r\n    const h2s = document.querySelectorAll(\"h2\");\r\n\r\n    function createId(text) {\r\n        return text.toLowerCase().replace(\/[^a-z0-9]+\/g, '-');\r\n    }\r\n\r\n    if (h1) {\r\n        if (!h1.id) {\r\n            h1.id = createId(h1.innerText);\r\n        }\r\n        const li = document.createElement(\"li\");\r\n        li.innerHTML = `<a href=\"#${h1.id}\">${h1.innerText}<\/a>`;\r\n        tocList.appendChild(li);\r\n    }\r\n\r\n    h2s.forEach(h2 => {\r\n        if (!h2.id) {\r\n            h2.id = createId(h2.innerText);\r\n        }\r\n        const li = document.createElement(\"li\");\r\n        li.classList.add(\"toc-h2\");\r\n        li.innerHTML = `<a href=\"#${h2.id}\">${h2.innerText}<\/a>`;\r\n        tocList.appendChild(li);\r\n    });\r\n});\r\n<\/script>\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e8e6840 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"e8e6840\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-022e9d7\" data-id=\"022e9d7\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-18bf49a\" data-id=\"18bf49a\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-58d3376 elementor-widget elementor-widget-heading\" data-id=\"58d3376\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">What Is a Perfect Square, Really?<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-19cc922 elementor-widget elementor-widget-text-editor\" data-id=\"19cc922\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Let\u2019s keep this simple. A perfect square is what you get when you multiply a whole number by itself.<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">3 \u00d7 3 = 9<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">5 \u00d7 5 = 25<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">6 \u00d7 6 = 36<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">So 9, 25 and 36 are all perfect squares. The number you multiplied, like the 6 in 6 \u00d7 6, is called the square root.<\/span><\/p><p><span style=\"font-weight: 400;\">Here\u2019s the part to remember: <\/span><b>a perfect square always has a whole-number square root.<\/b><span style=\"font-weight: 400;\"> Numbers like 35 or 38 don\u2019t, and that\u2019s exactly why they don\u2019t count.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-fa79e36\" data-id=\"fa79e36\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-761aa2a elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"761aa2a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-cdaf105\" data-id=\"cdaf105\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-df4687d\" data-id=\"df4687d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-63e0612 elementor-widget elementor-widget-heading\" data-id=\"63e0612\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Three Ways to Find It\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8daa837 elementor-widget elementor-widget-text-editor\" data-id=\"8daa837\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">There\u2019s no single \u201cright\u201d way. I\u2019ll show you three, from the most hands-on to the quickest. Pick whichever feels natural.<\/span><\/p><h4><b>Method 1: Just List the Squares<\/b><\/h4><p><span style=\"font-weight: 400;\">If you\u2019re new to this, start here. It\u2019s slow and steady, and it never lets you down.<\/span><\/p><p><span style=\"font-weight: 400;\">Write the squares of 1, 2, 3 and so on, and watch where they land.<\/span><\/p><table><tbody><tr><td><p><b>Number<\/b><\/p><\/td><td><p><b>Its square<\/b><\/p><\/td><td><p><b>Between 30 and 40?<\/b><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">1<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">1<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">No, way too small<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">2<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">4<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">No<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">3<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">9<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">No<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">4<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">16<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">No<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">5<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">25<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">No, so close, but still under 30<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">6<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">36<\/span><\/p><\/td><td><p><b>Yes!<\/b><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">7<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">49<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">No, it jumped right past 40<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">8<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">64<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">No<\/span><\/p><\/td><\/tr><\/tbody><\/table><p><span style=\"font-weight: 400;\">See what happened there? The squares climbed 16, 25, 36, 49. Our range of 30 to 40 only had room for one of them.<\/span><\/p><p><span style=\"font-weight: 400;\">You also don\u2019t need to keep writing after 49. Squares only ever grow as the numbers grow, so everything after 7\u00b2 will be even bigger. Once you\u2019ve overshot, you\u2019re finished.<\/span><\/p><h4><b>Method 2: Think in Square Roots<\/b><\/h4><p><span style=\"font-weight: 400;\">This one\u2019s faster, and it\u2019s the one I\u2019d use in an exam.<\/span><\/p><p><span style=\"font-weight: 400;\">Instead of squaring numbers, flip it around. Ask: which whole numbers have squares that fit between 30 and 40?<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The square root of 30 is a little under 5.5 (about 5.48)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The square root of 40 is a little over 6.3 (about 6.32)<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">So you\u2019re looking for a whole number between 5.48 and 6.32. There\u2019s only one candidate: 6. Square it and you get 36.<\/span><\/p><p><span style=\"font-weight: 400;\">Do this a few times and you\u2019ll start doing it in your head. It really helps to know that 5\u00b2 = 25, 6\u00b2 = 36 and 7\u00b2 = 49. Those three numbers do most of the work here.<\/span><\/p><h4><b>Method 3: Check Every Single Number<\/b><\/h4><p><span style=\"font-weight: 400;\">Sometimes you want proof, or your teacher wants to see your working. In that case, test every number from 31 to 39 using prime factorization.<\/span><\/p><p><span style=\"font-weight: 400;\">The rule is simple: a number is a perfect square only if each of its prime factors shows up an <\/span><b>even<\/b><span style=\"font-weight: 400;\"> number of times.<\/span><\/p><table><tbody><tr><td><p><b>Number<\/b><\/p><\/td><td><p><b>Prime factors<\/b><\/p><\/td><td><p><b>Perfect square?<\/b><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">31<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">31<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">No, it\u2019s prime<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">32<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">No, five 2s<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">33<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">3 \u00d7 11<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">No<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">34<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">2 \u00d7 17<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">No<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">35<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">5 \u00d7 7<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">No<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">36<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">2 \u00d7 2 \u00d7 3 \u00d7 3<\/span><\/p><\/td><td><p><b>Yes<\/b><span style=\"font-weight: 400;\">, everything pairs up<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">37<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">37<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">No, it\u2019s prime<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">38<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">2 \u00d7 19<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">No<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">39<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">3 \u00d7 13<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">No<\/span><\/p><\/td><\/tr><\/tbody><\/table><p><span style=\"font-weight: 400;\">Only 36 passed the test. Group its factors as (2 \u00d7 3) \u00d7 (2 \u00d7 3) and you\u2019re back at 6 \u00d7 6. It all fits together nicely.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-7434b32\" data-id=\"7434b32\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0aea097 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"0aea097\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-da29101\" data-id=\"da29101\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-0d03a17\" data-id=\"0d03a17\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fc2a011 elementor-widget elementor-widget-heading\" data-id=\"fc2a011\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Getting to Know 36 a Little Better<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-29ae435 elementor-widget elementor-widget-text-editor\" data-id=\"29ae435\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">I find numbers easier to remember when there\u2019s a story attached. So here are a few things about 36 that might help it stick.<\/span><\/p><p><b>It\u2019s built from odd numbers.<\/b><span style=\"font-weight: 400;\"> Add the first six odd numbers (1 + 3 + 5 + 7 + 9 + 11) and you get 36. It works for every perfect square, by the way. The first four odd numbers make 16, the first five make 25, and so on.<\/span><\/p><p><b>It\u2019s a triangular number too.<\/b><span style=\"font-weight: 400;\"> Add 1 + 2 + 3 and keep going up to 8, and you reach 36. Being both a square and a triangular number is pretty unusual.<\/span><\/p><p><b>It has nine factors.<\/b><span style=\"font-weight: 400;\"> They are 1, 2, 3, 4, 6, 9, 12, 18 and 36. Perfect squares always have an odd number of factors, and 36 is a good example of that.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-b95ff29\" data-id=\"b95ff29\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-db1b879 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"db1b879\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-e5ab884\" data-id=\"e5ab884\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-456c882\" data-id=\"456c882\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3fc1610 elementor-widget elementor-widget-heading\" data-id=\"3fc1610\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Quick Tricks for Spotting Perfect Squares\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e7e279d elementor-widget elementor-widget-text-editor\" data-id=\"e7e279d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">When the exam clock is running, these save you from doing a lot of unnecessary work.<\/span><\/p><p><b>Look at the last digit first.<\/b><span style=\"font-weight: 400;\"> A perfect square can only end in 0, 1, 4, 5, 6 or 9. If it ends in 2, 3, 7 or 8, forget it. In our range, that removes 32, 33, 37 and 38 before you\u2019ve done any real calculation.<\/span><\/p><p><b>Check the prime factors.<\/b><span style=\"font-weight: 400;\"> If even one prime shows up an odd number of times, it\u2019s not a perfect square.<\/span><\/p><p><b>Memorise squares up to 15.<\/b><span style=\"font-weight: 400;\"> That\u2019s 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196 and 225. It sounds like a lot, but a couple of evenings of practice and they\u2019ll stay with you for years.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-27dbf9d\" data-id=\"27dbf9d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e4cbe52 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"e4cbe52\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-b2c8491\" data-id=\"b2c8491\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-59ee449\" data-id=\"59ee449\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3108233 elementor-widget elementor-widget-heading\" data-id=\"3108233\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Where Students Usually Go Wrong\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-af4c87e elementor-widget elementor-widget-text-editor\" data-id=\"af4c87e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Most mistakes on this topic come from the same few places. If you know them in advance, you\u2019ll avoid them.<\/span><\/p><ol><li><b> Counting decimals.<\/b><span style=\"font-weight: 400;\"> This catches a lot of people. 5.5 \u00d7 5.5 = 30.25, and 30.25 really does sit between 30 and 40. But a perfect square has to come from a <\/span><i><span style=\"font-weight: 400;\">whole<\/span><\/i><span style=\"font-weight: 400;\"> number, and 5.5 isn\u2019t one. So 30.25 doesn\u2019t count.<\/span><\/li><li><b> Ignoring the endpoints.<\/b><span style=\"font-weight: 400;\"> Here it doesn\u2019t matter, since neither 30 nor 40 is a perfect square. But in a question like \u201cfind the perfect squares between 25 and 49,\u201d you\u2019d need to check whether 25 and 49 themselves should be included. Read the wording slowly.<\/span><\/li><li><b> Stopping too early or too late.<\/b><span style=\"font-weight: 400;\"> Some students quit at 25 and assume there\u2019s nothing in the range. Others keep going to 10\u00b2 and beyond without a reason. The moment a square goes past the upper limit, you can stop.<\/span><\/li><li><b> Mixing up squares and square roots.<\/b><span style=\"font-weight: 400;\"> The square of 6 is 36. The square root of 36 is 6. Same two numbers, opposite directions. It sounds obvious, but it\u2019s easy to flip them under pressure.<\/span><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-2184ce4\" data-id=\"2184ce4\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4115263 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"4115263\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-26cb6be\" data-id=\"26cb6be\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-cbf3956\" data-id=\"cbf3956\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-994683b elementor-widget elementor-widget-heading\" data-id=\"994683b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Your Turn: Practice Questions\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8abf1d2 elementor-widget elementor-widget-text-editor\" data-id=\"8abf1d2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Try these on paper first. No peeking.<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Find the perfect squares between 50 and 100.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Is there a perfect square between 40 and 48?<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Find the perfect square between 120 and 130.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">How many perfect squares are there from 1 to 50, including both ends?<\/span><\/li><\/ol><p><b>Answers<\/b><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">64 and 81 (that\u2019s 8\u00b2 and 9\u00b2)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">No. 36 is too low and 49 is too high.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">121 (that\u2019s 11\u00b2)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Seven: 1, 4, 9, 16, 25, 36 and 49<\/span><\/li><\/ol><p><span style=\"font-weight: 400;\">If you got all four, you\u2019ve understood the idea. If one tripped you up, go back to Method 1 and write out the squares. It almost always clears things up.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-0a14302\" data-id=\"0a14302\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1a06f1e elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"1a06f1e\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-7c3ff6a\" data-id=\"7c3ff6a\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-d6292aa\" data-id=\"d6292aa\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a942668 elementor-widget elementor-widget-heading\" data-id=\"a942668\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Does This Show Up in Real Life?<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a52cc8d elementor-widget elementor-widget-text-editor\" data-id=\"a52cc8d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">More than you\u2019d think. Perfect squares turn up when you:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">work out the area of a square room (a room that\u2019s 6 metres on each side covers 36 square metres)<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">lay tiles in a square grid, which needs a perfect square number of tiles<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">use the Pythagorean theorem with right-angled triangles<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">work with pixels, grids and arrays in computing<\/span><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-b883608\" data-id=\"b883608\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-43f6c6d elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"43f6c6d\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-c214503\" data-id=\"c214503\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-a7dee54\" data-id=\"a7dee54\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f759b00 elementor-widget elementor-widget-heading\" data-id=\"f759b00\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Conclusion<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-aecd45d elementor-widget elementor-widget-text-editor\" data-id=\"aecd45d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">To find the perfect square between 30 and 40, all you really need is the neighbours on either side. 5\u00b2 is 25, which is too small. 7\u00b2 is 49, which is too big. And right in the middle is 6\u00b2, which is 36. That\u2019s your answer, and it\u2019s the only one.<\/span><\/p><p><span style=\"font-weight: 400;\">The same approach works for any range you\u2019re given. Find the square roots of the two ends, spot the whole numbers between them, and square those. After a few tries, it\u2019ll feel almost automatic.<\/span><\/p><p><span style=\"font-weight: 400;\">Bookmark this page for revision, and give the practice questions a go before your next test. You\u2019ve got this.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-b5a013d\" data-id=\"b5a013d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-340ad70 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"340ad70\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-4f73d6c\" data-id=\"4f73d6c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-b9b187a\" data-id=\"b9b187a\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d4518e1 elementor-widget elementor-widget-heading\" data-id=\"d4518e1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Frequently Asked Questions\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ea70322 elementor-widget elementor-widget-accordion\" data-id=\"ea70322\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"accordion.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2451\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-2451\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">What is the perfect square between 30 and 40?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2451\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-2451\"><p><span style=\"font-weight: 400;\">36, because 6 \u00d7 6 = 36.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2452\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-2452\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Is there more than one perfect square between 30 and 40?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2452\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-2452\"><p><span style=\"font-weight: 400;\">No. The squares on either side are 25 and 49, so 36 is the only one in the gap.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2453\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-2453\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">What\u2019s the square root of 36?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2453\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-2453\"><p><span style=\"font-weight: 400;\">It\u2019s 6. (Strictly speaking, \u22126 works as well, but in school maths we usually mean the positive one.)<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2454\" class=\"elementor-tab-title\" data-tab=\"4\" role=\"button\" aria-controls=\"elementor-tab-content-2454\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Is 30.25 a perfect square?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2454\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"region\" aria-labelledby=\"elementor-tab-title-2454\"><p><span style=\"font-weight: 400;\">No. It\u2019s 5.5 squared, and 5.5 isn\u2019t a whole number.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2455\" class=\"elementor-tab-title\" data-tab=\"5\" role=\"button\" aria-controls=\"elementor-tab-content-2455\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">What\u2019s the fastest way to check if a number is a perfect square?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2455\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"5\" role=\"region\" aria-labelledby=\"elementor-tab-title-2455\"><p><span style=\"font-weight: 400;\">Look at the last digit first to rule out the obvious ones. Then use prime factorization: if every prime factor appears an even number of times, it\u2019s a perfect square.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<script type=\"application\/ld+json\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"What is the perfect square between 30 and 40?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<p><span style=\\\"font-weight: 400;\\\">36, because 6 \\u00d7 6 = 36.<\\\/span><\\\/p>\"}},{\"@type\":\"Question\",\"name\":\"Is there more than one perfect square between 30 and 40?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<p><span style=\\\"font-weight: 400;\\\">No. The squares on either side are 25 and 49, so 36 is the only one in the gap.<\\\/span><\\\/p>\"}},{\"@type\":\"Question\",\"name\":\"What\\u2019s the square root of 36?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<p><span style=\\\"font-weight: 400;\\\">It\\u2019s 6. (Strictly speaking, \\u22126 works as well, but in school maths we usually mean the positive one.)<\\\/span><\\\/p>\"}},{\"@type\":\"Question\",\"name\":\"Is 30.25 a perfect square?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<p><span style=\\\"font-weight: 400;\\\">No. It\\u2019s 5.5 squared, and 5.5 isn\\u2019t a whole number.<\\\/span><\\\/p>\"}},{\"@type\":\"Question\",\"name\":\"What\\u2019s the fastest way to check if a number is a perfect square?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<p><span style=\\\"font-weight: 400;\\\">Look at the last digit first to rule out the obvious ones. Then use prime factorization: if every prime factor appears an even number of times, it\\u2019s a perfect square.<\\\/span><\\\/p>\"}}]}<\/script>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-1e8553b\" data-id=\"1e8553b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Find the Perfect Square Between 30 and 40: The Answer, and How to Get There Yourself What\u2019s the Answer? It\u2019s [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[1],"tags":[],"class_list":["post-27089","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Find the Perfect Square Between 30 and 40: Answer, Method to Solve - Oratrics<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/blog.oratrics.com\/uncategorized\/find-the-perfect-square-between-30-and-40\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Find the Perfect Square Between 30 and 40: Answer, Method to Solve - Oratrics\" \/>\n<meta property=\"og:description\" content=\"Find the Perfect Square Between 30 and 40: The Answer, and How to Get There Yourself What\u2019s the Answer? It\u2019s [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/blog.oratrics.com\/uncategorized\/find-the-perfect-square-between-30-and-40\/\" \/>\n<meta property=\"og:site_name\" content=\"Oratrics\" \/>\n<meta property=\"article:published_time\" content=\"2026-10-16T09:08:50+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-10-16T11:01:23+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/Time-Matters_-A-Speech-on-Value.webp\" \/>\n\t<meta property=\"og:image:width\" content=\"1578\" \/>\n\t<meta property=\"og:image:height\" content=\"997\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/webp\" \/>\n<meta name=\"author\" content=\"Agrima Pandey\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Agrima Pandey\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"7 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/blog.oratrics.com\\\/uncategorized\\\/find-the-perfect-square-between-30-and-40\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/blog.oratrics.com\\\/uncategorized\\\/find-the-perfect-square-between-30-and-40\\\/\"},\"author\":{\"name\":\"Agrima Pandey\",\"@id\":\"https:\\\/\\\/oratrics.com\\\/blogs\\\/#\\\/schema\\\/person\\\/6e39bca8fe07d773e3323085b9d4ab87\"},\"headline\":\"Find the Perfect Square Between 30 and 40: Answer, Method to Solve\",\"datePublished\":\"2026-10-16T09:08:50+00:00\",\"dateModified\":\"2026-10-16T11:01:23+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/blog.oratrics.com\\\/uncategorized\\\/find-the-perfect-square-between-30-and-40\\\/\"},\"wordCount\":1291,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/oratrics.com\\\/blogs\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/blog.oratrics.com\\\/uncategorized\\\/find-the-perfect-square-between-30-and-40\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/blog.oratrics.com\\\/wp-content\\\/uploads\\\/2026\\\/10\\\/Time-Matters_-A-Speech-on-Value-1024x647.webp\",\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/blog.oratrics.com\\\/uncategorized\\\/find-the-perfect-square-between-30-and-40\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/blog.oratrics.com\\\/uncategorized\\\/find-the-perfect-square-between-30-and-40\\\/\",\"url\":\"https:\\\/\\\/blog.oratrics.com\\\/uncategorized\\\/find-the-perfect-square-between-30-and-40\\\/\",\"name\":\"Find the Perfect Square Between 30 and 40: Answer, Method to Solve - Oratrics\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/oratrics.com\\\/blogs\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/blog.oratrics.com\\\/uncategorized\\\/find-the-perfect-square-between-30-and-40\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/blog.oratrics.com\\\/uncategorized\\\/find-the-perfect-square-between-30-and-40\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/blog.oratrics.com\\\/wp-content\\\/uploads\\\/2026\\\/10\\\/Time-Matters_-A-Speech-on-Value-1024x647.webp\",\"datePublished\":\"2026-10-16T09:08:50+00:00\",\"dateModified\":\"2026-10-16T11:01:23+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/blog.oratrics.com\\\/uncategorized\\\/find-the-perfect-square-between-30-and-40\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/blog.oratrics.com\\\/uncategorized\\\/find-the-perfect-square-between-30-and-40\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/blog.oratrics.com\\\/uncategorized\\\/find-the-perfect-square-between-30-and-40\\\/#primaryimage\",\"url\":\"https:\\\/\\\/blog.oratrics.com\\\/wp-content\\\/uploads\\\/2026\\\/10\\\/Time-Matters_-A-Speech-on-Value-1024x647.webp\",\"contentUrl\":\"https:\\\/\\\/blog.oratrics.com\\\/wp-content\\\/uploads\\\/2026\\\/10\\\/Time-Matters_-A-Speech-on-Value-1024x647.webp\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/blog.oratrics.com\\\/uncategorized\\\/find-the-perfect-square-between-30-and-40\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/oratrics.com\\\/blogs\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Find the Perfect Square Between 30 and 40: Answer, Method to Solve\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/oratrics.com\\\/blogs\\\/#website\",\"url\":\"https:\\\/\\\/oratrics.com\\\/blogs\\\/\",\"name\":\"Oratrics\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\\\/\\\/oratrics.com\\\/blogs\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/oratrics.com\\\/blogs\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/oratrics.com\\\/blogs\\\/#organization\",\"name\":\"Oratrics\",\"url\":\"https:\\\/\\\/oratrics.com\\\/blogs\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/oratrics.com\\\/blogs\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/blog.oratrics.com\\\/wp-content\\\/uploads\\\/2026\\\/05\\\/oratricslogo-CdnYhcBa-scaled.png\",\"contentUrl\":\"https:\\\/\\\/blog.oratrics.com\\\/wp-content\\\/uploads\\\/2026\\\/05\\\/oratricslogo-CdnYhcBa-scaled.png\",\"width\":2560,\"height\":877,\"caption\":\"Oratrics\"},\"image\":{\"@id\":\"https:\\\/\\\/oratrics.com\\\/blogs\\\/#\\\/schema\\\/logo\\\/image\\\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/oratrics.com\\\/blogs\\\/#\\\/schema\\\/person\\\/6e39bca8fe07d773e3323085b9d4ab87\",\"name\":\"Agrima Pandey\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/f5d9684e6cdaf6933b60471fb5c371d08f83c0a1351c48514604b330505218dc?s=96&d=mm&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/f5d9684e6cdaf6933b60471fb5c371d08f83c0a1351c48514604b330505218dc?s=96&d=mm&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/f5d9684e6cdaf6933b60471fb5c371d08f83c0a1351c48514604b330505218dc?s=96&d=mm&r=g\",\"caption\":\"Agrima Pandey\"},\"url\":\"https:\\\/\\\/oratrics.com\\\/blogs\\\/author\\\/agrima\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Find the Perfect Square Between 30 and 40: Answer, Method to Solve - Oratrics","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/blog.oratrics.com\/uncategorized\/find-the-perfect-square-between-30-and-40\/","og_locale":"en_US","og_type":"article","og_title":"Find the Perfect Square Between 30 and 40: Answer, Method to Solve - Oratrics","og_description":"Find the Perfect Square Between 30 and 40: The Answer, and How to Get There Yourself What\u2019s the Answer? It\u2019s [&hellip;]","og_url":"https:\/\/blog.oratrics.com\/uncategorized\/find-the-perfect-square-between-30-and-40\/","og_site_name":"Oratrics","article_published_time":"2026-10-16T09:08:50+00:00","article_modified_time":"2026-10-16T11:01:23+00:00","og_image":[{"width":1578,"height":997,"url":"https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/Time-Matters_-A-Speech-on-Value.webp","type":"image\/webp"}],"author":"Agrima Pandey","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Agrima Pandey","Est. reading time":"7 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/blog.oratrics.com\/uncategorized\/find-the-perfect-square-between-30-and-40\/#article","isPartOf":{"@id":"https:\/\/blog.oratrics.com\/uncategorized\/find-the-perfect-square-between-30-and-40\/"},"author":{"name":"Agrima Pandey","@id":"https:\/\/oratrics.com\/blogs\/#\/schema\/person\/6e39bca8fe07d773e3323085b9d4ab87"},"headline":"Find the Perfect Square Between 30 and 40: Answer, Method to Solve","datePublished":"2026-10-16T09:08:50+00:00","dateModified":"2026-10-16T11:01:23+00:00","mainEntityOfPage":{"@id":"https:\/\/blog.oratrics.com\/uncategorized\/find-the-perfect-square-between-30-and-40\/"},"wordCount":1291,"commentCount":0,"publisher":{"@id":"https:\/\/oratrics.com\/blogs\/#organization"},"image":{"@id":"https:\/\/blog.oratrics.com\/uncategorized\/find-the-perfect-square-between-30-and-40\/#primaryimage"},"thumbnailUrl":"https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/Time-Matters_-A-Speech-on-Value-1024x647.webp","inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/blog.oratrics.com\/uncategorized\/find-the-perfect-square-between-30-and-40\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/blog.oratrics.com\/uncategorized\/find-the-perfect-square-between-30-and-40\/","url":"https:\/\/blog.oratrics.com\/uncategorized\/find-the-perfect-square-between-30-and-40\/","name":"Find the Perfect Square Between 30 and 40: Answer, Method to Solve - Oratrics","isPartOf":{"@id":"https:\/\/oratrics.com\/blogs\/#website"},"primaryImageOfPage":{"@id":"https:\/\/blog.oratrics.com\/uncategorized\/find-the-perfect-square-between-30-and-40\/#primaryimage"},"image":{"@id":"https:\/\/blog.oratrics.com\/uncategorized\/find-the-perfect-square-between-30-and-40\/#primaryimage"},"thumbnailUrl":"https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/Time-Matters_-A-Speech-on-Value-1024x647.webp","datePublished":"2026-10-16T09:08:50+00:00","dateModified":"2026-10-16T11:01:23+00:00","breadcrumb":{"@id":"https:\/\/blog.oratrics.com\/uncategorized\/find-the-perfect-square-between-30-and-40\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/blog.oratrics.com\/uncategorized\/find-the-perfect-square-between-30-and-40\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/blog.oratrics.com\/uncategorized\/find-the-perfect-square-between-30-and-40\/#primaryimage","url":"https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/Time-Matters_-A-Speech-on-Value-1024x647.webp","contentUrl":"https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/Time-Matters_-A-Speech-on-Value-1024x647.webp"},{"@type":"BreadcrumbList","@id":"https:\/\/blog.oratrics.com\/uncategorized\/find-the-perfect-square-between-30-and-40\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/oratrics.com\/blogs\/"},{"@type":"ListItem","position":2,"name":"Find the Perfect Square Between 30 and 40: Answer, Method to Solve"}]},{"@type":"WebSite","@id":"https:\/\/oratrics.com\/blogs\/#website","url":"https:\/\/oratrics.com\/blogs\/","name":"Oratrics","description":"","publisher":{"@id":"https:\/\/oratrics.com\/blogs\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/oratrics.com\/blogs\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/oratrics.com\/blogs\/#organization","name":"Oratrics","url":"https:\/\/oratrics.com\/blogs\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/oratrics.com\/blogs\/#\/schema\/logo\/image\/","url":"https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/05\/oratricslogo-CdnYhcBa-scaled.png","contentUrl":"https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/05\/oratricslogo-CdnYhcBa-scaled.png","width":2560,"height":877,"caption":"Oratrics"},"image":{"@id":"https:\/\/oratrics.com\/blogs\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/oratrics.com\/blogs\/#\/schema\/person\/6e39bca8fe07d773e3323085b9d4ab87","name":"Agrima Pandey","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/secure.gravatar.com\/avatar\/f5d9684e6cdaf6933b60471fb5c371d08f83c0a1351c48514604b330505218dc?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/f5d9684e6cdaf6933b60471fb5c371d08f83c0a1351c48514604b330505218dc?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/f5d9684e6cdaf6933b60471fb5c371d08f83c0a1351c48514604b330505218dc?s=96&d=mm&r=g","caption":"Agrima Pandey"},"url":"https:\/\/oratrics.com\/blogs\/author\/agrima\/"}]}},"rttpg_featured_image_url":null,"rttpg_author":{"display_name":"Agrima Pandey","author_link":"https:\/\/oratrics.com\/blogs\/author\/agrima\/"},"rttpg_comment":0,"rttpg_category":"<a href=\"https:\/\/oratrics.com\/blogs\/category\/uncategorized\/\" rel=\"category tag\">Uncategorized<\/a>","rttpg_excerpt":"Find the Perfect Square Between 30 and 40: The Answer, and How to Get There Yourself What\u2019s the Answer? It\u2019s [&hellip;]","_links":{"self":[{"href":"https:\/\/blog.oratrics.com\/wp-json\/wp\/v2\/posts\/27089","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.oratrics.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.oratrics.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.oratrics.com\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.oratrics.com\/wp-json\/wp\/v2\/comments?post=27089"}],"version-history":[{"count":10,"href":"https:\/\/blog.oratrics.com\/wp-json\/wp\/v2\/posts\/27089\/revisions"}],"predecessor-version":[{"id":27151,"href":"https:\/\/blog.oratrics.com\/wp-json\/wp\/v2\/posts\/27089\/revisions\/27151"}],"wp:attachment":[{"href":"https:\/\/blog.oratrics.com\/wp-json\/wp\/v2\/media?parent=27089"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.oratrics.com\/wp-json\/wp\/v2\/categories?post=27089"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.oratrics.com\/wp-json\/wp\/v2\/tags?post=27089"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}