Answer
$-\frac{2(\sqrt 2-\sqrt 7)}{5}$
Work Step by Step
Multiply by conjugate radical:
$\frac{2}{\sqrt 2+\sqrt 7}\times\frac{\sqrt 2-\sqrt 7}{\sqrt 2-\sqrt 7}$
Simplify using the Special Product Formula 1:
$\frac{2(\sqrt 2-\sqrt 7)}{(\sqrt 2)^2-(\sqrt 7)^2}=\frac{2(\sqrt 2-\sqrt 7)}{2-7}=-\frac{2(\sqrt 2-\sqrt 7)}{5}$
