Simplify Square Roots: example 9.14

$\begin{array}{cccc}& & & \sqrt{x^3}\hfill \\ \begin{array}{c}\text{Rewrite the radicand as a product using the}\hfill \\ \text{largest perfect square factor.}\hfill \end{array}\hfill & & & \sqrt{x^2·x}\hfill \\ \begin{array}{c}\text{Rewrite the radical as the product of two}\hfill \\ \text{radicals.}\hfill \end{array}\hfill & & & \sqrt{x^2}·\sqrt{x}\hfill \\ \text{Simplify.}\hfill & & & x\sqrt{x}\hfill \end{array}$