Nth Root Calculator

Calculate the square root, cube root, or any nth root of a number.

Result-
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What Is an Nth Root?

The nth root of a number x is a value that, when multiplied by itself n times, equals x. The square root (n=2) and cube root (n=3) are the most common, but this calculator works for any root degree.

Formula

Nth Root of x = x^(1/n)

For negative numbers, only odd roots (3rd, 5th, 7th...) give a real result; even roots of negative numbers are not real numbers.

How to Use This Calculator

Example

The 3rd root (cube root) of 64 is 64^(1/3) = 4, since 4 × 4 × 4 = 64.

Frequently Asked Questions

What does this calculator compute?

The nth root of a number — e.g. the cube root of 27 is 3.

How is nth root related to exponents?

The nth root of x equals x raised to the power of (1/n).

Can you take a root of a negative number?

Odd roots of negatives are real; even roots of negatives require imaginary numbers.

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