Answer
$\frac{1}{x} \sqrt{11x}$
Work Step by Step
Rationalize the denominator by multiplying $x$ to both the numerator and the denominator of the radicand to obtain:
$=\sqrt{\dfrac{11\cdot x}{x \cdot x}}
\\=\sqrt{\dfrac{11x}{x^2}}
\\=\sqrt{\dfrac{1}{x^2} \cdot 11x}$
Simplify to obtain:
$=\frac{1}{x} \sqrt{11x}$
