Answer
$\frac{\sqrt{11x}}{x}$
Work Step by Step
$\sqrt{\frac{11}{x}}$
Use the quotient rule for square roots.
$\frac{\sqrt{11}}{\sqrt{x}}$
Rationalize the denominator,
$\frac{\sqrt{11}}{\sqrt{x}}\times\frac{\sqrt{x}}{\sqrt{x}}$
Use product rule for square roots.
$\frac{\sqrt{11x}}{x}$
