Answer
$\dfrac{5-\sqrt{10}}{3}$
Work Step by Step
Rationalize the denominator by multiplying $\sqrt5-\sqrt{2}$ to both the numerator and the denominator to have:
$=\dfrac{\sqrt5}{\sqrt5+\sqrt{2}} \cdot \dfrac{\sqrt5-\sqrt{2}}{\sqrt5-\sqrt{2}}
\\=\dfrac{5-\sqrt{10}}{5-2}
\\=\dfrac{5-\sqrt{10}}{3}$
