Square Root Calculator

Calculate the square root of any non-negative number.

  • Free to use
  • Accurate results
  • No registration required
  • Works on all devices
Enter a non-negative number to calculate its square root.

Your result

4

Square root

AI explanation

Formula

Square root = value^(1/2)

Worked example

Square root of 16

Worked example: Square root of 16
FieldValue
Number16
Square root4

Assumptions

  • The square root of a negative number is not a real number, so this calculator requires a non-negative input. For a general root of any degree (including negative numbers with odd roots), use the Nth Root Calculator.

Frequently asked questions

How is a square root calculated?

The square root of a number x is the value that, when multiplied by itself, equals x — for example, the square root of 16 is 4 because 4 × 4 = 16.

Can a square root be negative?

Every positive number technically has two square roots (positive and negative) — this calculator returns the principal (positive) square root, which is the conventional default.

What about the square root of a negative number?

That requires imaginary numbers (i = √−1) and isn't a real number, so this calculator only accepts non-negative input.

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