Square Root Calculator

What is the Square Root Calculator?

Calculate the square root of any number, and check whether it is a perfect square. Square roots reverse squaring, and they appear in distance calculations, areas, statistics and many physics formulas.

How to use the Square Root Calculator

1. Enter your number.
2. Results update automatically as you type; you can also press Calculate.
3. Read the output: square root, perfect square?, simplified radical.
4. Use the 📊 chart to see the result visually, then copy or share it.

Formula and method

Worked example

With number = 200, the Square Root Calculator returns square root: 14.1421356237; perfect square?: No; simplified radical: 10√2.

Where the Square Root Calculator helps in real life

You know a square room has an area of 196 square feet and want its side length. The square root gives exactly 14 feet.

A statistics student needs the standard deviation from a variance of 42.25. The square root gives 6.5.

Common mistakes to avoid

• Taking the square root of a negative number and expecting a real answer.
• Forgetting that every positive number has a negative square root too.
• Rounding the result before using it in further steps.
• Confusing square roots with halving.

💡 Practical tip: Perfect squares such as 144 and 225 have whole-number square roots — the calculator flags them.

Tips for better results

• Check the answer by squaring it.
• Memorize perfect squares up to 15² for quick estimates.
• Use the nth root calculator for cube and higher roots.

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