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Square Root Calculator

Calculate the principal square root of any non-negative number.

Use the tool

Enter your values below. Results are calculated in your browser.

About this Square Root Calculator

Square Root Calculator finds the principal square root of a non-negative number and shows the value with useful precision. It is handy for geometry, algebra and quick arithmetic checks.

Formula or method

The principal square root of x is the non-negative value y such that y × y = x.

Example

The square root of 144 is 12 because 12 × 12 = 144.

Common uses

  • Check square-root exercises.
  • Find side lengths when an area or squared value is known.
  • Use a square root as an intermediate step in formulas.

How to use this tool

  1. Enter the values or text requested by the calculator.
  2. Choose units or options when the tool provides them.
  3. Select the calculation button and review the result.
  4. Use the formula, example and notes on this page to check whether the result fits your situation.

Important note

This calculator returns the real principal square root, so the input must be zero or greater. Negative inputs would require complex numbers.

Frequently asked questions

What is the square root of 0?

The principal square root of 0 is 0.

Can this calculator handle negative numbers?

No. This version calculates real square roots only; negative inputs require complex-number notation.