# How do you rationalize the denominator and simplify (18sqrt24)/(-3sqrt8)?

Apr 14, 2018

$- 6 \sqrt{3}$

#### Explanation:

$\frac{18 \sqrt{24}}{- 3 \sqrt{8}}$

$\frac{18 \sqrt{6 \times 4}}{- 3 \sqrt{4 \times 2}}$

$\frac{36 \sqrt{6}}{- 6 \sqrt{2}}$

$\frac{- 6 \sqrt{6}}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}$

$\frac{- 6 \sqrt{12}}{2}$

$\frac{- 6 \sqrt{3 \times 4}}{2}$

$\frac{- 12 \sqrt{3}}{2}$

$- 6 \sqrt{3}$