Answer
$\frac{x^2\sqrt{3}}{3}$
Work Step by Step
$\sqrt{\frac{x^4}{3}}$
Use the quotient rule for square roots.
$\frac{\sqrt{x^4}}{\sqrt{3}}$
Simplify the numerator. Rationalize the denominator.
$\frac{x^2}{\sqrt{3}}\times\frac{\sqrt{3}}{\sqrt{3}}$
Use product rule for square roots.
$\frac{x^2\sqrt{3}}{3}$