# How do you simplify (2sqrt3+sqrt2)/(sqrt3+2sqrt2)?

$\frac{2 \sqrt{3} + \sqrt{2}}{\sqrt{3} + 2 \sqrt{2}} \cdot \frac{\sqrt{3} - 2 \sqrt{2}}{\sqrt{3} - 2 \sqrt{2}}$
$= \frac{2 \left(3\right) + \sqrt{2} \sqrt{3} - 4 \sqrt{2} \sqrt{3} - 2 \left(2\right)}{3 - 8}$
$= \frac{10 - 3 \sqrt{6}}{- 5}$
$= \frac{3}{5} \sqrt{6} - 2$