Answer
$\sqrt{5}+\sqrt{2}$
Work Step by Step
The given expression is
$=\frac{3}{\sqrt{5}-\sqrt{2}}$
The conjugate of $\sqrt{5}-\sqrt{2}$ is $\sqrt{5}+\sqrt{2}$
$=\frac{3}{\sqrt{5}-\sqrt{2}} \cdot \frac{\sqrt{5}+\sqrt{2}}{\sqrt{5}+\sqrt{2}}$
Use sum and difference pattern.
$=\frac{3(\sqrt{5}+\sqrt{2})}{(\sqrt{5})^2-(\sqrt{2})^2}$
Simplify.
$=\frac{3(\sqrt{5}+\sqrt{2})}{5-2}$
$=\frac{3(\sqrt{5}+\sqrt{2})}{3}$
$=\sqrt{5}+\sqrt{2}$
