Calculators

Square Root Calculator

Find square roots, approximate decimal values, and simplified radical form for positive whole numbers.

Find a square root

Answer
6sqrt(2)
  1. Simplified radical: sqrt(72) = 6sqrt(2)

How to use the square root calculator

Use this calculator to find the decimal square root and, for whole numbers, the simplified radical form.

  1. Enter a nonnegative number.
  2. The calculator computes the decimal square root.
  3. If the input is a whole number, it also simplifies the radical.

Formula or method

sqrt(n) is the nonnegative number whose square equals n.

Worked examples

Perfect square

Problem: sqrt(49)

Solution: 7 because 7^2 = 49.

Simplified radical

Problem: sqrt(72)

Solution: sqrt(72) = sqrt(36 * 2) = 6sqrt(2).