Answer
$\frac{12m+3m\sqrt{2m}}{16-2m}$.
Work Step by Step
The given expression is
$=\frac{3m}{4-\sqrt{2m}}$
Multiply and divide by the conjugate of the denominator.
$=\frac{3m}{4-\sqrt{2m}}\cdot \frac{4+\sqrt{2m}}{4+\sqrt{2m}}$
Use distributive property and the FOIL method.
$=\frac{12m+3m\sqrt{2m}}{16+4\sqrt{2m}-4\sqrt{2m}+(-\sqrt{2m})(\sqrt{2m})}$
Simplify.
$=\frac{12m+3m\sqrt{2m}}{16-2m}$.
