Answer
$\frac{6\sqrt {5}}{5}$
Work Step by Step
We will simplify the expression by rationalizing its denominator,
$\sqrt \frac{36}{5}$
=$\frac{\sqrt {36}}{\sqrt 5}$
=$\frac{\sqrt {36}}{\sqrt 5}\times\frac{\sqrt 5}{\sqrt 5}$
=$\frac{\sqrt {36}\times\sqrt 5}{\sqrt 5\times\sqrt 5}$
=$\frac{6\sqrt {5}}{(\sqrt 5)^{2}}$
=$\frac{6\sqrt {5}}{5}$
