In mathematics, a **cube root** of a number, denoted or x1/3, is a number *a* such that *a*3 = *x*. All real numbers (except zero) have exactly one real cube root and a pair of complex conjugate roots, and all nonzero complex numbers have three distinct complex cube roots. For example, the real cube root of 8 is 2, because 23 = 8. All the cube roots of −27*i* are

The cube root operation is not associative or distributive with addition or subtraction.555

The cube root operation is associative with exponentiation and distributive with multiplication and division if considering only real numbers, but not always if considering complex numbers, for example:

but

Read more about Cube Root: Formal Definition, Cube Root On Standard Calculator, Numerical Methods, History

### Famous quotes containing the word root:

“Better extirpate the whole breed, *root* and branch. And this, unless the German people come to their senses, is what we propose to do.”

—Gertrude Atherton (1857–1948)