Simplify Square Roots: exemplo 9.13

$\begin{array}{cccc}& & & \sqrt{500}\hfill \\ \begin{array}{c}\text{Rewrite the radicand as a product using the}\hfill \\ \text{largest perfect square factor.}\hfill \end{array}\hfill & & & \sqrt{100·5}\hfill \\ \begin{array}{c}\text{Rewrite the radical as the product of two}\hfill \\ \text{radicals.}\hfill \end{array}\hfill & & & \sqrt{100}·\sqrt{5}\hfill \\ \text{Simplify.}\hfill & & & 10\sqrt{5}\hfill \end{array}$