# How do you rationalize the denominator and simplify (6sqrt5)/(sqrt15 +2)?

$\frac{30 \sqrt{3} - 12 \sqrt{5}}{11}$
$\frac{6 \sqrt{5}}{\sqrt{15} + 2}$$\times$ $\frac{\sqrt{15} - 2}{\sqrt{15} - 2}$
$\implies$ $\frac{6 \sqrt{75} - 12 \sqrt{5}}{15 - 2 \sqrt{15} + 2 \sqrt{15} - 4}$
$\implies$ $\frac{30 \sqrt{3} - 12 \sqrt{5}}{11}$