Simplify Square Roots: example 9.27

$\begin{array}{cccc}& & & \sqrt{\frac{81d^9}{25d^4}}\hfill \\ \text{Simplify the fraction in the radicand.}\hfill & & & \sqrt{\frac{81d^5}{25}}\hfill \\ \text{Rewrite using the Quotient Property.}\hfill & & & \frac{\sqrt{81d^5}}{\sqrt{25}}\hfill \\ \begin{array}{c}\text{Simplify the radicals in the numerator and}\hfill \\ \text{the denominator.}\hfill \end{array}\hfill & & & \frac{\sqrt{81d^4}·\sqrt{d}}{5}\hfill \\ \text{Simplify.}\hfill & & & \frac{9d^2\sqrt{d}}{5}\hfill \end{array}$