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Square Root Calculator

√n for any real number, including imaginary results.

Best for: Use it in geometry (areas), statistics (standard deviation), physics and everyday maths.

Complete guide

Input

How it's calculated & sources
The Square Root Calculator uses the standard, deterministic formula, so the same inputs always produce the same result. It runs entirely in your browser, so your inputs are never uploaded. Last reviewed June 2026.

Free & no sign-up · runs entirely in your browser. Results are estimates for general information, not professional advice — verify important decisions with a qualified expert. Last reviewed June 2026.

How it works

√n is the value that, multiplied by itself, gives n.

Example

√144 = 12

Frequently asked questions

Negative numbers?+

Real square roots are undefined for negatives — they produce imaginary results.

Continue your journey

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Complete guide

Quick answers

Short, sourced answers to the questions people (and AI assistants) ask most.

What is Square Root?
A square root calculator finds the value that, multiplied by itself, gives your number.
Why does Square Root matter?
The side length of a square with that area. Every positive number has two real roots (+ and -); the principal root is the positive one.
How is Square Root calculated?
It computes the principal (non-negative) square root; the tool can also note the negative root. Formula: sqrt(x) = y where y x y = x (x >= 0 for a real result).
What are common square root mistakes?
Taking the square root of a negative and expecting a real number.
When should you use the Square Root Calculator?
Use it in geometry (areas), statistics (standard deviation), physics and everyday maths.

What is the Square Root Calculator?

A square root calculator finds the value that, multiplied by itself, gives your number.

How the Square Root Calculator works

It computes the principal (non-negative) square root; the tool can also note the negative root.

sqrt(x) = y where y x y = x (x >= 0 for a real result)

Squares and square roots, 1–15

111
241.41
391.73
4162
5252.24
6362.45
7492.65
8642.83
9813
101003.16
111213.32
121443.46
131693.61
141963.74
152253.87

Common mistakes to avoid

  • Taking the square root of a negative and expecting a real number.
  • Forgetting the negative root exists.
  • Rounding an irrational root too early.

Keywords: square, root.

Reviewed by the Free Tools Galaxy editorial team · Updated June 2026 · Calculated privately in your browser.

Frequently asked questions

Is the Square Root Calculator free to use?+

Yes. Every tool on Free Tools Galaxy is 100% free, runs in your browser and requires no signup.

How accurate is the Square Root Calculator?+

Square Root Calculator uses the standard square root formula in double-precision arithmetic, so the same inputs always produce the same result and you can verify any figure by hand. It is an educational estimate — real-world outcomes depend on your actual rates, rules and assumptions.

Do you store my inputs?+

No. The Square Root Calculator runs entirely in your browser. Nothing is uploaded or saved to a server.

Can I use the Square Root Calculator on mobile?+

Yes — the interface is fully responsive and works on phones, tablets and desktops.

What are common mistakes to avoid?+

The most frequent mistake is mixing units. Double-check your inputs use a single, consistent unit before clicking Calculate.

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Likely next step

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Square Root Calculator on Free Tools Galaxy — √n for any real number, including imaginary results. https://freetoolsgalaxy.com/tools/square-root-calculator
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# Square Root Calculator — the free tool I keep coming back to

√n for any real number, including imaginary results.

Try it: https://freetoolsgalaxy.com/tools/square-root-calculator
Quora answer
The fastest way is to use a free in-browser square root calculator: https://freetoolsgalaxy.com/tools/square-root-calculator. √n for any real number, including imaginary results.

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Hey r/[subreddit],

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