# How do you simplify (-4 sqrt(6)) / sqrt(27)?

$\frac{4 \sqrt{6}}{\sqrt{27}}$ $=$ $\frac{- 4 \sqrt{2}}{3}$
$\frac{4 \sqrt{6}}{\sqrt{27}}$ $=$ $\frac{- 4 \sqrt{2} \times \cancel{\sqrt{3}}}{\sqrt{9} \times \cancel{\sqrt{3}}}$ $=$ $\frac{- 4 \sqrt{2}}{\sqrt{9}}$ $=$ $\frac{- 4 \sqrt{2}}{3}$