In the equation

*n*\(^{3}\) =*N*, the real number*n*whose cube is equal to*N*.### Symbols

The cube root of *N* is written as \(\sqrt[3]{N}\) and is read as “the cube root of *N*“.

### Examples

- If
*x*\(^{3}\) = 1000, then \(\sqrt[3]{1000}\) = 10, since 10 × 10 × 10 = 1000. - If
*x*\(^{3}\) = –1000, then \(\sqrt[3]{–1000}\) = –10, since –10 × –10 × –10 = –1000. - If
*x*\(^{3}\) = 0.125, then \(\sqrt[3]{0.125}\) = 0.5, since (0.5) × (0.5) × (0.5)= 0.125. - If
*x*\(^{3}\) = \(\frac{1}{8}\), then \(\sqrt[3]\frac{1}{8}\) = \(\frac{1}{2}\), since \(\frac{1}{2}\) × \(\frac{1}{2}\) × \(\frac{1}{2}\) = \(\frac{1}{8}\)