Answer
$\dfrac{x+8\sqrt x+15}{x-9}$
Work Step by Step
Simplify. $\dfrac{\sqrt x+5}{\sqrt x-3}$
Now, $\dfrac{\sqrt x+5}{\sqrt x-3}=\dfrac{(\sqrt x+5)(\sqrt x+3)}{(\sqrt x-3)(\sqrt x+3)}$
or, $=\dfrac{x+3\sqrt x+5 \sqrt x+15}{(\sqrt x)^2-(3)^2}$
or, $=\dfrac{x+8\sqrt x+15}{x-9}$
