Root Calculator

Calculate any nth root of a number — with quick square root and cube root buttons

n√number

About the Root Calculator

This root calculator computes the nth root of any positive number. Use the quick buttons for square root (degree 2), cube root (degree 3), or enter any degree. The calculator also attempts to show simplified radical form when applicable.

The Formula

n√x = x^(1/n)   √x (square root, n=2)   ∛x (cube root, n=3)   x^(1/n) = e^(ln(x)/n)

Frequently Asked Questions

What is the difference between square root and cube root?

A square root (√x) finds a number that when multiplied by itself equals x. A cube root (∛x) finds a number that when multiplied by itself three times equals x. For example, √16 = 4 (since 4×4=16), while ∛27 = 3 (since 3×3×3=27).

Can I calculate the root of a negative number?

For odd roots (e.g., cube root, 5th root), yes — the root of a negative number is negative. For even roots (e.g., square root, 4th root), the result is not a real number. This calculator handles positive numbers and automatically shows odd-root negatives.