Answer
$\frac{7\sqrt 6-\sqrt {30}}{6}$
Work Step by Step
Step 1: $\frac{7-\sqrt 5}{\sqrt 6}$
Step 2: Rationalize the denominator: $\frac{(7-\sqrt 5)\times\sqrt 6}{\sqrt 6\times\sqrt 6}$.
Step 3: $\frac{7\sqrt 6-\sqrt {5}\sqrt {6}}{6}$
Step 4: $\frac{7\sqrt 6-\sqrt {30}}{6}$
