{"id":28240,"date":"2026-10-21T06:53:14","date_gmt":"2026-10-21T06:53:14","guid":{"rendered":"https:\/\/blog.oratrics.com\/?p=28240"},"modified":"2026-10-21T07:20:02","modified_gmt":"2026-10-21T07:20:02","slug":"cube-root-of-1000","status":"publish","type":"post","link":"https:\/\/oratrics.com\/blogs\/uncategorized\/cube-root-of-1000\/","title":{"rendered":"Cube Root of 1000 with Value and Methods"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"28240\" class=\"elementor elementor-28240\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c0b425d elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"c0b425d\" 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-dbe8e41\" data-id=\"dbe8e41\" 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-2cc2119\" data-id=\"2cc2119\" 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-6336892 elementor-widget elementor-widget-heading\" data-id=\"6336892\" 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\">Cube Root of 1000 with Value and Methods<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-283cc11 elementor-widget elementor-widget-text-editor\" data-id=\"283cc11\" 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;\">The cube root of 1000 is <\/span><b>10<\/b><span style=\"font-weight: 400;\">.<\/span><\/p><p><span style=\"font-weight: 400;\">Quick proof: 10 \u00d7 10 = 100. Then 100 \u00d7 10 = 1000. Yep.<\/span><\/p><p><span style=\"font-weight: 400;\">So if that&#8217;s all you wanted, thanks for stopping by! But if you&#8217;ve got a worksheet staring at you, or a teacher who loves the words &#8220;show your working,&#8221; stay a minute. I&#8217;ll walk you through it like I would at a kitchen table, and I promise it&#8217;s less scary than the symbol makes it look.<\/span><\/p><table><tbody><tr><td><p><b>Quick Facts<\/b><\/p><\/td><td><p><b>Details<\/b><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Cube root of 1000<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">10<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Radical form<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">\u221b1000<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Exponent form<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">(1000)^(1\/3)<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Perfect cube?<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">Yes<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Prime factorization<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">2\u00b3 \u00d7 5\u00b3<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Rational or irrational?<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">Rational<\/span><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Cube root of \u22121000<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">\u221210<\/span><\/p><\/td><\/tr><\/tbody><\/table>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5f974c9 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"5f974c9\" 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-ab86416 elementor-widget elementor-widget-image\" data-id=\"ab86416\" 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-a60eeb1\" data-id=\"a60eeb1\" 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-8848682 elementor-widget elementor-widget-html\" data-id=\"8848682\" 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; 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\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-acbcb85 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"acbcb85\" 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-0b86ce0\" data-id=\"0b86ce0\" 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-4fe13a3\" data-id=\"4fe13a3\" 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-42c6836 elementor-widget elementor-widget-heading\" data-id=\"42c6836\" 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 Even Is a Cube Root?\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-dadadbf elementor-widget elementor-widget-text-editor\" data-id=\"dadadbf\" 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;\">Forget the symbol for a second. Think about a box.<\/span><\/p><p><span style=\"font-weight: 400;\">Picture a cube-shaped box, where the length, width and height are all the same. Now someone tells you it holds 1000 cm\u00b3 of stuff. How long is each side?<\/span><\/p><p><span style=\"font-weight: 400;\">That&#8217;s all a cube root is. You&#8217;re working backwards from the volume to the side. Here the side is 10 cm, because 10 \u00d7 10 \u00d7 10 = 1000.<\/span><\/p><p><span style=\"font-weight: 400;\">In plain words, the cube root of a number is the thing you multiply by itself <\/span><i><span style=\"font-weight: 400;\">three times<\/span><\/i><span style=\"font-weight: 400;\"> to get that number back:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u221b8 = 2, because 2 \u00d7 2 \u00d7 2 = 8<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u221b27 = 3, because 3 \u00d7 3 \u00d7 3 = 27<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u221b1000 = 10, because 10 \u00d7 10 \u00d7 10 = 1000<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">And here&#8217;s some good news. With square roots, positive numbers have two answers (both 5 and \u22125 square to 25). With cube roots, there&#8217;s only <\/span><b>one<\/b><span style=\"font-weight: 400;\"> real answer. One less thing to trip over.<\/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-e53de38\" data-id=\"e53de38\" 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-1a246f8 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"1a246f8\" 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-ec92d03\" data-id=\"ec92d03\" 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-0aed3e2\" data-id=\"0aed3e2\" 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-fc05cbc elementor-widget elementor-widget-heading\" data-id=\"fc05cbc\" 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\">Is 1000 a Perfect Cube?\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d4a494d elementor-widget elementor-widget-text-editor\" data-id=\"d4a494d\" 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;\">It is, and it might be the nicest one of all.<\/span><\/p><p><span style=\"font-weight: 400;\">A perfect cube is a whole number you get by cubing another whole number. And 1000 is just 10\u00b3. Here are the first ten, and honestly, they&#8217;re worth a quick look because they pop up in tests all the time:<\/span><\/p><table><tbody><tr><td><p><b>n<\/b><\/p><\/td><td><p><b>1<\/b><\/p><\/td><td><p><b>2<\/b><\/p><\/td><td><p><b>3<\/b><\/p><\/td><td><p><b>4<\/b><\/p><\/td><td><p><b>5<\/b><\/p><\/td><td><p><b>6<\/b><\/p><\/td><td><p><b>7<\/b><\/p><\/td><td><p><b>8<\/b><\/p><\/td><td><p><b>9<\/b><\/p><\/td><td><p><b>10<\/b><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">n\u00b3<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">1<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">8<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">27<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">64<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">125<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">216<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">343<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">512<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">729<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">1000<\/span><\/p><\/td><\/tr><\/tbody><\/table><p><span style=\"font-weight: 400;\">See how 1000 closes the list? A 1 and three zeros. Easiest one to remember, by far.<\/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-3ff183a\" data-id=\"3ff183a\" 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-65fe38f elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"65fe38f\" 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-cd72fae\" data-id=\"cd72fae\" 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-e7344f2\" data-id=\"e7344f2\" 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-91ae2f6 elementor-widget elementor-widget-heading\" data-id=\"91ae2f6\" 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\">Method 1: Prime Factorization (The \"Show Your Working\" Method)<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-339f010 elementor-widget elementor-widget-text-editor\" data-id=\"339f010\" 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;\">This is the one most teachers want. Don&#8217;t worry, it&#8217;s basically just a game of &#8220;break it into smaller pieces.&#8221;<\/span><\/p><p><span style=\"font-weight: 400;\">Start with 1000 and keep dividing by the smallest prime that fits:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">1000 \u00f7 2 = 500<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">500 \u00f7 2 = 250<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">250 \u00f7 2 = 125<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">125 \u00f7 5 = 25<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">25 \u00f7 5 = 5<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">5 \u00f7 5 = 1<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">So 1000 = 2 \u00d7 2 \u00d7 2 \u00d7 5 \u00d7 5 \u00d7 5.<\/span><\/p><p><span style=\"font-weight: 400;\">Now look for matching triplets. (Triplets, because it&#8217;s a <\/span><i><span style=\"font-weight: 400;\">cube<\/span><\/i><span style=\"font-weight: 400;\"> root. For square roots you&#8217;d look for pairs.) You&#8217;ve got three 2s together and three 5s together. Take one from each triplet and multiply:<\/span><\/p><p><span style=\"font-weight: 400;\">2 \u00d7 5 = <\/span><b>10<\/b><\/p><p><span style=\"font-weight: 400;\">That&#8217;s it. That&#8217;s the whole method. Break it up, group in threes, pick one from each group.<\/span><\/p><p><span style=\"font-weight: 400;\">And if you want a little aha moment: 2\u00b3 \u00d7 5\u00b3 is the same as (2 \u00d7 5)\u00b3, which is 10\u00b3. The answer was hiding in plain sight.<\/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-46c3faf\" data-id=\"46c3faf\" 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-e14baa6 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"e14baa6\" 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-0262abd\" data-id=\"0262abd\" 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-d4484dc\" data-id=\"d4484dc\" 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-dde77ea elementor-widget elementor-widget-heading\" data-id=\"dde77ea\" 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\">Method 2: The Digit Trick (My Favorite When I'm in a Hurry)\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e8364c8 elementor-widget elementor-widget-text-editor\" data-id=\"e8364c8\" 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 love this one, because it feels like cheating, but it isn&#8217;t. It works for any perfect cube up to six digits, and exam papers are full of those.<\/span><\/p><p><b>Step 1.<\/b><span style=\"font-weight: 400;\"> Chop the number into groups of three digits, starting from the right. 1000 becomes <\/span><b>1 | 000<\/b><span style=\"font-weight: 400;\">.<\/span><\/p><p><b>Step 2.<\/b><span style=\"font-weight: 400;\"> Look at the last group. It ends in 0. Only 0 cubed ends in 0, so the answer ends in <\/span><b>0<\/b><span style=\"font-weight: 400;\">.<\/span><\/p><p><b>Step 3.<\/b><span style=\"font-weight: 400;\"> Look at the first group. It&#8217;s 1. And 1\u00b3 = 1, so the answer starts with <\/span><b>1<\/b><span style=\"font-weight: 400;\">.<\/span><\/p><p><b>Step 4.<\/b><span style=\"font-weight: 400;\"> Stick them together: <\/span><b>10<\/b><span style=\"font-weight: 400;\">.<\/span><\/p><p><span style=\"font-weight: 400;\">About ten seconds, start to finish.<\/span><\/p><p><span style=\"font-weight: 400;\">Here&#8217;s how the last digits pair up for other cubes. Worth keeping handy:<\/span><\/p><table><tbody><tr><td><p><b>Cube ends in<\/b><\/p><\/td><td><p><b>0<\/b><\/p><\/td><td><p><b>1<\/b><\/p><\/td><td><p><b>8<\/b><\/p><\/td><td><p><b>7<\/b><\/p><\/td><td><p><b>4<\/b><\/p><\/td><td><p><b>5<\/b><\/p><\/td><td><p><b>6<\/b><\/p><\/td><td><p><b>3<\/b><\/p><\/td><td><p><b>2<\/b><\/p><\/td><td><p><b>9<\/b><\/p><\/td><\/tr><tr><td><p><span style=\"font-weight: 400;\">Root ends in<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">0<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">1<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">2<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">3<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">4<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">5<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">6<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">7<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">8<\/span><\/p><\/td><td><p><span style=\"font-weight: 400;\">9<\/span><\/p><\/td><\/tr><\/tbody><\/table><p><span style=\"font-weight: 400;\">The sneaky ones are 8 \u2194 2, 7 \u2194 3 and 2 \u2194 8, 3 \u2194 7. They swap around, and that&#8217;s where most people slip.<\/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-b9c0a11\" data-id=\"b9c0a11\" 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-6b7e967 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"6b7e967\" 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-5edc5c8\" data-id=\"5edc5c8\" 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-b2ebe73\" data-id=\"b2ebe73\" 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-9bbffc7 elementor-widget elementor-widget-heading\" data-id=\"9bbffc7\" 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\">Method 3: Just Know Your Cubes<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-883f3e1 elementor-widget elementor-widget-text-editor\" data-id=\"883f3e1\" 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;\">If you&#8217;ve looked at the list above a few times, you&#8217;ll often just <\/span><i><span style=\"font-weight: 400;\">see<\/span><\/i><span style=\"font-weight: 400;\"> the answer. 1000? That&#8217;s 10\u00b3. Done.<\/span><\/p><p><span style=\"font-weight: 400;\">And when a number isn&#8217;t a perfect cube, the same list still saves you. Say someone asks for \u221b900. It&#8217;s sitting between 729 (9\u00b3) and 1000 (10\u00b3), so you already know the answer is between 9 and 10, and closer to 10. A calculator says about 9.65. You were never far off.<\/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-1f03c3e\" data-id=\"1f03c3e\" 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-64046cb elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"64046cb\" 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-2d1cac2\" data-id=\"2d1cac2\" 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-a46216b\" data-id=\"a46216b\" 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-a6f2bef elementor-widget elementor-widget-heading\" data-id=\"a6f2bef\" 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\">A Nerdy Bonus: How Calculators Find It\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e710b38 elementor-widget elementor-widget-text-editor\" data-id=\"e710b38\" 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;\">Totally optional, but I find this one kind of delightful.<\/span><\/p><p><span style=\"font-weight: 400;\">Say your first guess is 9. The calculator improves it with this rule: new guess = (2 \u00d7 guess + 1000 \u00f7 guess\u00b2) \u00f7 3.<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">From 9: (18 + 12.35) \u00f7 3 \u2248 10.12<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">From 10.12: (20.24 + 9.77) \u00f7 3 \u2248 10.00<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">Two rounds, and it&#8217;s practically on 10. Each guess gets closer, fast. Neat, right?<\/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-c4868be\" data-id=\"c4868be\" 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-57cee78 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"57cee78\" 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-9b19c73\" data-id=\"9b19c73\" 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-83950d8\" data-id=\"83950d8\" 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-4fd76c1 elementor-widget elementor-widget-heading\" data-id=\"4fd76c1\" 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\">Ways to Write It<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0a8dac5 elementor-widget elementor-widget-text-editor\" data-id=\"0a8dac5\" 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;\">The same answer shows up in different outfits:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Radical:<\/b><span style=\"font-weight: 400;\"> \u221b1000 = 10<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Exponent:<\/b><span style=\"font-weight: 400;\"> (1000)^(1\/3) = 10<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Prime-factor form:<\/b><span style=\"font-weight: 400;\"> (2\u00b3 \u00d7 5\u00b3)^(1\/3) = 10<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">One tiny warning, because it catches so many people. When you type the exponent into a calculator, use the fraction 1\/3, not 0.33. The decimal 0.33 isn&#8217;t <\/span><i><span style=\"font-weight: 400;\">quite<\/span><\/i><span style=\"font-weight: 400;\"> a third, and 1000^0.33 comes out around 9.77. Close, but not 10. Annoying, but true.<\/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-b883ae0\" data-id=\"b883ae0\" 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-d17a3ae elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"d17a3ae\" 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-f1c915a\" data-id=\"f1c915a\" 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-8d92b54\" data-id=\"8d92b54\" 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-f1731a7 elementor-widget elementor-widget-heading\" data-id=\"f1731a7\" 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\">Rational or Irrational?<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-00b668a elementor-widget elementor-widget-text-editor\" data-id=\"00b668a\" 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;\">Rational. 10 is a whole number, and you can write it as 10\/1. Easy.<\/span><\/p><p><span style=\"font-weight: 400;\">(Fancy extra for older students: x\u00b3 = 1000 secretly has two more solutions with imaginary numbers in them, \u22125 \u00b1 5\u221a3 i. But when a question asks for &#8220;the cube root of 1000,&#8221; it wants the real one, 10.)<\/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-d1a2210\" data-id=\"d1a2210\" 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-f0889e5 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"f0889e5\" 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-febb553\" data-id=\"febb553\" 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-e33c51b\" data-id=\"e33c51b\" 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-8cf0fa4 elementor-widget elementor-widget-heading\" data-id=\"8cf0fa4\" 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 About \u22121000?<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c2e94e9 elementor-widget elementor-widget-text-editor\" data-id=\"c2e94e9\" 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;\">Here&#8217;s where cube roots are way more relaxed than square roots. Negatives are welcome.<\/span><\/p><p><span style=\"font-weight: 400;\">\u221b(\u22121000) = \u221210, because (\u221210) \u00d7 (\u221210) \u00d7 (\u221210) = \u22121000.<\/span><\/p><p><span style=\"font-weight: 400;\">If that feels odd, go slowly. Two negatives multiply to a positive (+100). Then +100 \u00d7 (\u221210) gives \u22121000. So the rule is easy: <\/span><b>the cube root of a negative number is negative.<\/b><\/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-8d9f417\" data-id=\"8d9f417\" 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-09e4df7 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"09e4df7\" 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-c36d389\" data-id=\"c36d389\" 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-75a1f45\" data-id=\"75a1f45\" 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-fb5fc2f elementor-widget elementor-widget-heading\" data-id=\"fb5fc2f\" 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\">Solved Examples<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b51003b elementor-widget elementor-widget-text-editor\" data-id=\"b51003b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<ol><li><b> Solve x\u00b3 = 1000.<\/b><b><br \/><\/b><span style=\"font-weight: 400;\"> Take the cube root of both sides. x = <\/span><b>10<\/b><span style=\"font-weight: 400;\">.<\/span><\/li><li><b> A cube-shaped box has a volume of 1000 cm\u00b3. Find its side and its surface area.<\/b><b><br \/><\/b><span style=\"font-weight: 400;\"> Side = \u221b1000 = <\/span><b>10 cm<\/b><span style=\"font-weight: 400;\">. Surface area = 6 \u00d7 10\u00b2 = 6 \u00d7 100 = <\/span><b>600 cm\u00b2<\/b><span style=\"font-weight: 400;\">.<\/span><\/li><li><b> A cube-shaped tank holds 1000 litres. How long is each edge?<\/b><b><br \/><\/b><span style=\"font-weight: 400;\"> 1000 litres is exactly 1 m\u00b3, so the edge is \u221b1 = <\/span><b>1 m<\/b><span style=\"font-weight: 400;\"> (100 cm). Nice fact to keep: 1000 litres is always one cubic metre.<\/span><\/li><li><b> You glue 1000 tiny cubes into one big cube. How many tiny cubes sit along one edge?<\/b><b><br \/><\/b><span style=\"font-weight: 400;\"> \u221b1000 = <\/span><b>10<\/b><span style=\"font-weight: 400;\">. So the big cube is 10 by 10 by 10. (Like those big puzzle cubes made of little blocks.)<\/span><\/li><li><b> Find \u221b1000 + \u221b27.<\/b><b><br \/><\/b><span style=\"font-weight: 400;\"> 10 + 3 = <\/span><b>13<\/b><span style=\"font-weight: 400;\">.<\/span><\/li><li><b> Find \u221b(1000\/64).<\/b><b><br \/><\/b><span style=\"font-weight: 400;\"> \u221b1000 = 10 and \u221b64 = 4, so the answer is 10\/4 = <\/span><b>2.5<\/b><span style=\"font-weight: 400;\">.<\/span><\/li><li><b> Use \u221b1000 to crack some bigger ones.<\/b><b><br \/><\/b><span style=\"font-weight: 400;\"> Every time a number gets 1000 times bigger, its cube root gets 10 times bigger:<\/span><\/li><\/ol><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u221b8000 = 2 \u00d7 10 = <\/span><b>20<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u221b27000 = 3 \u00d7 10 = <\/span><b>30<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u221b1,000,000 = <\/span><b>100<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u221b0.001 = <\/span><b>0.1<\/b><\/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-3d2d6ac\" data-id=\"3d2d6ac\" 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-29518e6 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"29518e6\" 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-fb56ad6\" data-id=\"fb56ad6\" 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-c377e50\" data-id=\"c377e50\" 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-97048ab elementor-widget elementor-widget-heading\" data-id=\"97048ab\" 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\">Mistakes I See All the Time<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-61a1259 elementor-widget elementor-widget-text-editor\" data-id=\"61a1259\" 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;\">You&#8217;re in good company if you&#8217;ve done any of these.<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Mixing up cube root and square root.<\/b><span style=\"font-weight: 400;\"> \u221a1000 is about 31.62, while \u221b1000 is exactly 10. Look for that tiny 3 on the radical sign.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Dividing by 3.<\/b><span style=\"font-weight: 400;\"> The cube root of 1000 isn&#8217;t 1000 \u00f7 3 (that&#8217;s 333.33). It&#8217;s the number that cubes to 1000.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Using 0.33 as the exponent.<\/b><span style=\"font-weight: 400;\"> Use 1\/3, or you&#8217;ll get 9.77.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Forgetting the sign.<\/b><span style=\"font-weight: 400;\"> The cube root of \u22121000 is \u221210, not 10.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Grouping primes in twos.<\/b><span style=\"font-weight: 400;\"> Pairs are for square roots. Cube roots need triplets.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><b>Skipping the check.<\/b><span style=\"font-weight: 400;\"> Multiplying 10 \u00d7 10 \u00d7 10 takes five seconds. Do it, every time.<\/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-274a78c\" data-id=\"274a78c\" 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-7dc3170 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"7dc3170\" 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-b9c31a2\" data-id=\"b9c31a2\" 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-cb263c2\" data-id=\"cb263c2\" 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-01ff234 elementor-widget elementor-widget-heading\" data-id=\"01ff234\" 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!<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1fc5222 elementor-widget elementor-widget-text-editor\" data-id=\"1fc5222\" 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;\">Grab a pen and try these before you scroll down. I promise it&#8217;s the quickest way to make this stick.<\/span><\/p><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Find \u221b8000.<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Find \u221b(\u22121000).<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Find \u221b(1000\/125).<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">What&#8217;s the volume of a cube with side 10 cm?<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Find \u221b0.001.<\/span><\/li><\/ol><p><b>Answers:<\/b><span style=\"font-weight: 400;\"> 1) 20, 2) \u221210, 3) 2, 4) 1000 cm\u00b3, 5) 0.1<\/span><\/p><p><span style=\"font-weight: 400;\">Got one wrong? No stress. Just check whether you grouped things in threes. That&#8217;s where almost everyone wobbles.<\/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-f95a2df\" data-id=\"f95a2df\" 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-7beab17 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"7beab17\" 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-9a18eef\" data-id=\"9a18eef\" 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-55d1c0c\" data-id=\"55d1c0c\" 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-3a287ac elementor-widget elementor-widget-heading\" data-id=\"3a287ac\" 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-7aad5b0 elementor-widget elementor-widget-text-editor\" data-id=\"7aad5b0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<ul><li style=\"font-weight: 400;\" aria-level=\"1\"><b>\u221b1000 = 10<\/b><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">1000 is a perfect cube: 10 \u00d7 10 \u00d7 10<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Prime factorization gives 2\u00b3 \u00d7 5\u00b3, so the root is 2 \u00d7 5 = 10<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The digit trick (1 | 000) gets you there in seconds<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The cube root of \u22121000 is \u221210<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Use 1\/3 as the exponent, not 0.33<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">Once this one clicks, a whole bunch of other cube roots get easier. Give the practice questions a try, and I think you&#8217;ll surprise yourself.<\/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-d4a5bde\" data-id=\"d4a5bde\" 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-67eec6e elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"67eec6e\" 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-b74011c\" data-id=\"b74011c\" 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-cca8556\" data-id=\"cca8556\" 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-b295013 elementor-widget elementor-widget-heading\" data-id=\"b295013\" 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-5924192 elementor-widget elementor-widget-accordion\" data-id=\"5924192\" 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-9341\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-9341\" 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 cube root of 1000?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9341\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-9341\"><p><span style=\"font-weight: 400;\">10, because 10 \u00d7 10 \u00d7 10 = 1000.<\/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-9342\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-9342\" 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 1000 a perfect cube?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9342\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-9342\"><p><span style=\"font-weight: 400;\">Yes. It equals 10\u00b3.<\/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-9343\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-9343\" 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 prime factorization of 1000?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9343\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-9343\"><p><span style=\"font-weight: 400;\">2 \u00d7 2 \u00d7 2 \u00d7 5 \u00d7 5 \u00d7 5, or 2\u00b3 \u00d7 5\u00b3.<\/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-9344\" class=\"elementor-tab-title\" data-tab=\"4\" role=\"button\" aria-controls=\"elementor-tab-content-9344\" 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\">How do you find the cube root of 1000 by prime factorization?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9344\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"region\" aria-labelledby=\"elementor-tab-title-9344\"><p><span style=\"font-weight: 400;\">Write 1000 as 2\u00b3 \u00d7 5\u00b3, take one 2 and one 5, and multiply them to get 10.<\/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-9345\" class=\"elementor-tab-title\" data-tab=\"5\" role=\"button\" aria-controls=\"elementor-tab-content-9345\" 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 cube root of \u22121000?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9345\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"5\" role=\"region\" aria-labelledby=\"elementor-tab-title-9345\"><p><span style=\"font-weight: 400;\">\u221210.<\/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 cube root of 1000?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<p><span style=\\\"font-weight: 400;\\\">10, because 10 \\u00d7 10 \\u00d7 10 = 1000.<\\\/span><\\\/p>\"}},{\"@type\":\"Question\",\"name\":\"Is 1000 a perfect cube?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<p><span style=\\\"font-weight: 400;\\\">Yes. It equals 10\\u00b3.<\\\/span><\\\/p>\"}},{\"@type\":\"Question\",\"name\":\"What is the prime factorization of 1000?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<p><span style=\\\"font-weight: 400;\\\">2 \\u00d7 2 \\u00d7 2 \\u00d7 5 \\u00d7 5 \\u00d7 5, or 2\\u00b3 \\u00d7 5\\u00b3.<\\\/span><\\\/p>\"}},{\"@type\":\"Question\",\"name\":\"How do you find the cube root of 1000 by prime factorization?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<p><span style=\\\"font-weight: 400;\\\">Write 1000 as 2\\u00b3 \\u00d7 5\\u00b3, take one 2 and one 5, and multiply them to get 10.<\\\/span><\\\/p>\"}},{\"@type\":\"Question\",\"name\":\"What is the cube root of \\u22121000?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<p><span style=\\\"font-weight: 400;\\\">\\u221210.<\\\/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-4618389\" data-id=\"4618389\" 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>Cube Root of 1000 with Value and Methods The cube root of 1000 is 10. Quick proof: 10 \u00d7 10 [&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-28240","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>Cube Root of 1000 with Value and Methods - 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\/cube-root-of-1000\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cube Root of 1000 with Value and Methods - Oratrics\" \/>\n<meta property=\"og:description\" content=\"Cube Root of 1000 with Value and Methods The cube root of 1000 is 10. 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