Root Calculator

About this calculator

The nth root of a number is the value that, multiplied by itself n times, gives the number back: the cube root of 27 is 3 because 3 × 3 × 3 = 27. Degree 2 is the square root, degree 3 the cube root.

Odd-degree roots work for negative numbers (the cube root of −8 is −2), but even-degree roots of negatives have no real answer — there's no real number whose square is negative — so the calculator reports an error for those.

A root is the same as a fractional exponent: the nth root of x equals x^(1/n), which is how roots slot into the rules of exponents.