Root calculator

Enter a number and which root you want. Square roots of whole numbers are also shown in simplified radical form, like √72 = 6√2.

Your answer

Square root of 728.4852813742
Simplified radical6√2

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How we worked it out

Updated as you change the numbers.

  1. The 2th root of x is the number that, raised to the 2th power, gives x: x^(1/2).

Method and assumptions

The nth root of x is x^(1/n). Odd roots of negative numbers are negative real numbers; even roots of negative numbers are not real. A square root is simplified by taking out the largest square factor.

Questions

What is the square root of 72 in simplest form?

6√2, about 8.4853.

Sources

Method and figures checked on . Every worked answer on this page is covered by an automated test. Found a mistake? Tell us.

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