Root of Quotient equals Quotient of Roots

Theorem
Let $a, b \in \R_{>0}$ be (strictly) positive real numbers.

Let $n \in \Z_{>0}$ be a strictly positive integer

Then:
 * $\sqrt [n] {\dfrac a b} = \dfrac {\sqrt [n] a} {\sqrt [n] b}$

where $\sqrt [n] {}$ denotes the $n$th root.