Answer
$\frac{x\sqrt{7}}{7}$
Work Step by Step
$\sqrt{\frac{x^2}{7}}$
Use the quotient rule for square roots.
$\frac{\sqrt x^2}{\sqrt{7}}$
Rationalize the denominator,
$\frac{\sqrt x^2}{\sqrt{7}}\times\frac{\sqrt{7}}{\sqrt{7}}$
Simplify.
$\frac{x\sqrt{7}}{7}$