Factorization of radicals

A radical can be separated in two or more radicals of the same order if it is possible to factorize the radicand.

Example

$\begin{array}{rcl} \sqrt{20} & = & \sqrt{4 \cdot 5} = \sqrt{4} \cdot \sqrt{5} = \sqrt{2^{2}} \sqrt{5} = 2^{\frac{2}{2}} \sqrt{5} = 2 \sqrt{5} \\ \frac{\sqrt{20}}{\sqrt{5}} & = & \frac{2 \sqrt{5}}{\sqrt{5}} = 2 \end{array}$