Root Calculator

Square root, cube root, or any nth root you need.

327 =
3

Even roots (square, 4th, etc.) of a negative number aren't real — only odd roots (cube, 5th, etc.) can handle negative inputs.

A worked example

The cube root of 27 is exactly 3 — since 3³ = 27.

Frequently asked questions

Why can a cube root handle negative numbers but a square root can't?

An odd number of negative factors multiplied together stays negative, so a negative number can have a real odd root (like cube root). An even root would require an imaginary number to get back to a negative result, since any real number squared is positive.

What's the relationship between roots and exponents?

Taking the nth root of a number is the same as raising it to the power of 1/n — the Exponent Calculator can do the exact same calculation, just framed as a fractional power instead.