Square Root Calculator

Calculate square roots, cube roots and any nth root, with step-by-step simplification.

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How to use Square Root Calculator

  1. Enter a number.
  2. Optionally enter a root other than 2.
  3. Read the decimal result, perfect-square check and simplified radical.

About this tool

The square root of a number is the value that multiplied by itself gives the original. Not every root is a whole number: the square root of 72 is about 8.485, which can also be written exactly as 6 times the square root of 2.

Negative numbers have no real square root. Odd roots such as the cube root of -27 do exist and equal -3.

Frequently Asked Questions

What is a perfect square?
A whole number whose square root is also a whole number, such as 1, 4, 9, 16 and 25.
Can I take the square root of a negative number?
Not within real numbers. The result would be an imaginary number involving i.

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