Root Calculator

Root Calculator

Find the nth root of a number and compare the exact root with a decimal approximation.

Last updated: June 2026 | By Patchworkr Team

Calculation steps
Take the 3th root of 27.
Use exponent form: 27^(1/3).
Result = 3
Root result
3
Decimal value
3

What Is An nth Root?

The nth root of x is the number that, when raised to the nth power, gives x. For example, the cube root of 27 is 3 because 3^3 = 27.

How To Find A Root

  1. Enter the number x.
  2. Enter the root n.
  3. Make sure n is a nonzero integer.
  4. Raise x to the power of 1/n.
nth root = x^(1/n)

Worked Example

The cube root of 27 is 3.

3^3 = 27

Frequently Asked Questions

Can I use a negative number?

Yes, but only when the root is odd. Even roots of negative numbers are not real.

Can the root be decimal?

No. The calculator expects a whole-number root.

Does the calculator show exact radicals?

This tool is focused on numeric nth roots rather than radical simplification.

What if I enter 0 for the root?

The calculator rejects it because the root must be nonzero.

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