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

$\frac{2 + \sqrt{3}}{2 - \sqrt{3}}$
$= \frac{2 + \sqrt{3}}{2 - \sqrt{3}} \cdot \frac{2 + \sqrt{3}}{2 + \sqrt{3}}$
$= \frac{4 + 4 \sqrt{3} + 3}{4 - 3}$
$= 7 + 4 \sqrt{3}$