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Square Roots from 1 to 25: Complete Chart with Examples

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Square Roots From 1 to 25: Complete Chart With Examples (2026 Guide)

You’re staring at a math problem, and there it is that little checkmark symbol sitting over a number, silently asking “what times itself gives you this?” That’s a square root, and honestly, once it clicks, it’s one of the easier concepts in math. The tricky part is usually just getting a clear reference and a bit of practice. This guide is exactly that a full square roots chart from 1 to 25, explained the way I’d walk a student through it in person, not the way a textbook drones on about it.

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☰ Table of Contents

    What Is a Square Root, Really?

    Think of it as squaring in reverse. If you square a number, you multiply it by itself. A square root asks the opposite question: what number, multiplied by itself, gets you back to where you started? So: 5 × 5 = 25 means the square root of 25 is 5. Written out, that’s √25 = 5. The little checkmark is called a radical sign, and whatever number sits under it is the radicand though honestly, you don’t need to remember that word to use the concept.

    Perfect Squares vs. Everything Else

    Here’s where a lot of the confusion starts, so let’s sort it out early. Perfect squares are numbers that come from squaring a whole number so their square roots are also nice, clean whole numbers. 1, 4, 9, 16, and 25 are your perfect squares between 1 and 25. Everything else? Their square roots are messier, decimals that never actually end or repeat in a clean pattern. We just round them to a few decimal places and move on, which is totally fine for practical use.

    The Full Chart: Square Roots From 1 to 25

    Here’s the complete list. Non-perfect squares are rounded to three decimal places, which is more than enough precision for schoolwork or everyday calculations.

    Number (n)                  Square (n²)                Square Root (√n)

    1                                       1                                     1.000

    2                                      4                                    1.414

    3                                      9                                    1.732

    4                                      16                                  2.000

    5                                      25                                 2.236

    6                                      36                                 2.449

    7                                      49

    8                                      64

    9                                      81

    10                                    100

    11                                     121

    12                                    144                

    13                                    169

    14                                    196

    15                                    225

    16                                    256

    17                                    289

    18                                    324 

    19                                    361

    20                                   400

    21                                    441

    22                                   484

    23                                   529

    24                                   576

    25                                   625

    Worth noticing: the “Square” column is basically a squares chart hiding inside a square roots chart. If you’re studying both topics together (which, let’s be honest, you probably are), this one table covers you for both.

    Frequently Asked Questions

    For younger children (Class 1–5), 1–2 minutes is ideal. For older students (Class 6–10), a 2–3 minute speech works well without losing the audience’s attention.

    A greeting, a brief mention of India’s freedom in 1947, some acknowledgment of the freedom fighters, and a short patriotic line to close on. That’s really all it needs.

    Break it into small sections, practice out loud over a few days instead of all at once, and use small hand gestures or pauses as memory cues for each part.

    For very young children, reading confidently is completely fine. For competitions or older students, memorizing and speaking naturally tends to leave a stronger impression.

    Usually it’s not the vocabulary. A steady voice, a bit of eye contact, natural pauses, and a strong closing line stand out far more than fancy words ever do.

    The best response is to pause, take a breath, and continue from whatever they remember next. Teachers and judges generally respond better to a composed pause than to visible panic.

    Not from scratch, necessarily, but changing a line or two, a new fact, a slightly different ending, keeps it from sounding like the exact same recited script year after year.

    Yes, and it often helps quite a bit. Something as simple as “My grandfather told me stories about how our village celebrated freedom” adds a personal touch that tends to land well, especially with students in Class 6 and above.

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