Answer
$\frac{3\sqrt2}{2}$
Work Step by Step
The given expression is
$=\frac{12}{\sqrt{32}}$
Multiply by $\frac{\sqrt 2}{\sqrt2}$.
$=\frac{12}{\sqrt{32}}\cdot \frac{\sqrt 2}{\sqrt2}$
Use product property of square roots.
$=\frac{12\sqrt2}{\sqrt{32\cdot 2}}$
Simplify.
$=\frac{12\sqrt2}{\sqrt{64}}$
Use $\sqrt{64}=8$.
$=\frac{12\sqrt2}{8}$
Simplify.
$=\frac{3\sqrt2}{2}$
