Square Root Calculator

Calculate square roots of real and negative numbers, including complex results.

What Is a Square Root Calculator?

Calculate square roots, cube roots, and nth roots.

Shows simplified radical form, a perfect square check, and a reference table.

How to Calculate a Square Root

Follow these steps:

  • Enter a number.
  • Select the root type (square, cube, 4th, or custom nth).
  • Click calculate to see the result.

Tips

  • Check the perfect squares reference for common values.
  • Simplifying radicals is useful in algebra.
  • Use nth roots for various math applications.

Frequently Asked Questions

How do I calculate a square root?+
The square root of a number x is the value that, when multiplied by itself, equals x. For example, √144 = 12 because 12 × 12 = 144. This calculator handles any positive number and simplifies radicals.
What is a perfect square?+
A perfect square is a number whose square root is an integer. Examples: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225.
How do I simplify radicals?+
Factor out perfect squares from under the radical. For example, √72 = √(36 × 2) = 6√2. Find the largest perfect square factor and move its root outside.

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Square Root Calculator — free online square root calculator, cube root calculator, nth root calculator, radical calculator, perfect square calculator. No signup required. Works in your browser.