Answer
$\frac{3\sqrt2}{2}$
Work Step by Step
$\frac{12}{\sqrt{32}}$
Simplify by factoring out perfect squares.
$\frac{12}{\sqrt{(16)(2)}}$
Simplify.
$\frac{12}{4\sqrt2}$
Rationalize the denominator.
$\frac{12}{4\sqrt2}\times\frac{\sqrt2}{\sqrt2}$
Use product rule for square roots.
$\frac{12\sqrt{2}}{8}$
Reduce. Divide the numerator and denominator by greatest common factor of 4.
$\frac{3\sqrt2}{2}$
