Answer
The answer is $2\sqrt 5+2\sqrt 2$.
Work Step by Step
The given expression is s
$\frac{6}{\sqrt 5-\sqrt 2}$
Rationalize the given expression by dividing and multiplying $\sqrt 5+\sqrt 2$.
$\frac{6}{\sqrt 5-\sqrt 2}\cdot \frac{\sqrt 5+\sqrt 2}{\sqrt 5+\sqrt 2} $
By using algebraic formula.
$\frac{6\sqrt 5+6\sqrt 2}{5-2}$
$\frac{6\sqrt 5+6\sqrt 2}{3}$
Simplify.
$2\sqrt 5+2\sqrt 2$.
