Root Calculator

Compute the nth root of a number — square root, cube root, or any custom degree.

√
Equation used
sqrt[n]x = x^1/n

Frequently Asked Questions

Why can't I take an even root of a negative number?

An even root (like a square root) of a negative number isn't a real number — no real value multiplied by itself an even number of times gives a negative result. Odd roots (cube root, 5th root, etc.) of negative numbers are fine and the calculator handles them correctly.

How is a root actually calculated?

The nth root of x is computed as x raised to the power 1/n. For negative radicands with an odd degree, it computes the root of the positive value and reapplies the negative sign, since standard exponentiation can't handle fractional powers of negative numbers directly.

What does the "Result^n" verification show?

It raises your computed root back to the power n, which should return you to (approximately) the original value — a quick way to confirm the root was calculated correctly.