Answer
$\frac{3\sqrt {10}}{5}$
Work Step by Step
The simplification of the expression is only possible through rationalizing the denominator:
Step 1: $\frac{3\sqrt 2}{\sqrt 5}$
Step 2: $\frac{3\sqrt 2}{\sqrt 5}\times\frac{\sqrt 5}{\sqrt 5}$
Step 3: $\frac{3\sqrt 2\times\sqrt 5}{(\sqrt 5)^{2}}$
Step 4: $\frac{3\sqrt {2\times5}}{5}$
Step 5: $\frac{3\sqrt {10}}{5}$
