Simplify Square Roots: example 9.28

$\begin{array}{cccc}& & & \sqrt{\frac{18p^5{q}^7}{32p{q}^2}}\hfill \\ \begin{array}{c}\text{Simplify the fraction in the radicand, if}\hfill \\ \text{possible.}\hfill \end{array}\hfill & & & \sqrt{\frac{9p^4{q}^5}{16}}\hfill \\ \text{Rewrite using the Quotient Property.}\hfill & & & \frac{\sqrt{9p^4{q}^5}}{\sqrt{16}}\hfill \\ \begin{array}{c}\text{Simplify the radicals in the numerator and}\hfill \\ \text{the denominator.}\hfill \end{array}\hfill & & & \frac{\sqrt{9p^4{q}^4}·\sqrt{q}}{4}\hfill \\ \text{Simplify.}\hfill & & & \frac{3p^2{q}^2\sqrt{q}}{4}\hfill \end{array}$