# How do you simplify 18/(6+sqrt(27m))?

Apr 12, 2018

$\frac{2 \sqrt{3 m} - 4}{m}$
18/(6+(sqrt(27m)) = 18/((sqrt(27m)+6)
Now $\frac{\sqrt{27 m} - 6}{\sqrt{27 m} - 6}$ is 1 so multiple that to 18/((sqrt(27m)+6),
18/((sqrt(27m)+6)*$\frac{\sqrt{27 m} - 6}{\sqrt{27 m} - 6}$ = $\frac{54 \sqrt{3 m} - 108}{27 m}$
=$\frac{2 \sqrt{3 m} - 4}{m}$