# Nth Root of a Real Number

## Nth Root of a Real Number

In the equation an = A, the real number a that, that, when raised to the power n, is equal to A.

### Examples

• The 4th roots of 81 are 3 and –3, since 34 = 81 and (–3)4 = 81.
• The square roots of 81 are 9 and –9, since 9$$^{2}$$ = 81 and (–9)$$^{2}$$ = 81.