Answer
False
Work Step by Step
Simplifying the expression by using the rule $\frac{\sqrt a}{\sqrt b}=\sqrt \frac{a}{b}$, we obtain:
$\frac{\sqrt {-36}}{\sqrt 9}=\sqrt \frac{-36}{9}=\sqrt {-4}$
$\sqrt {-4}$ cannot be simplified further as it is not a real number. Therefore, the question statement is false.