Cube Root Calculator
Calculate the cube root or any nth root of a number with this free online tool. Handles positive and negative numbers, verifies results, and identifies perfect roots.
The nth root of a number x is a value r such that r^n = x. The cube root (n=3) is the most common after the square root. For example, the cube root of 27 is 3 because 3^3 = 27, and the cube root of -8 is -2 because (-2)^3 = -8.
Unlike square roots, cube roots are defined for negative numbers because a negative number raised to an odd power remains negative. Even roots (square root, fourth root, etc.) of negative numbers are not real numbers. This calculator handles both cases correctly.
Perfect roots are numbers whose nth root is an exact integer. For cube roots, the first several perfect cubes are: 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000. Recognizing perfect cubes helps simplify radical expressions in algebra and makes mental math easier.