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