Answer
$\frac{x^2\sqrt{2}}{2}$
Work Step by Step
$\sqrt{\frac{x^4}{2}}$
Use the quotient rule for square roots.
$\frac{\sqrt{x^4}}{\sqrt{2}}$
Simplify the numerator. Rationalize the denominator.
$\frac{x^2}{\sqrt{2}}\times\frac{\sqrt{2}}{\sqrt{2}}$
Use product rule for square roots.
$\frac{x^2\sqrt{2}}{2}$
