## Intermediate Algebra for College Students (7th Edition)

$\frac{1}{x} \sqrt{11x}$
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: $=\frac{1}{x} \sqrt{11x}$