## Elementary Algebra

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