Rationalize the Denominator $\frac{5 \sqrt{x}}{\sqrt{x}-2 \sqrt{y}}$ A) $\frac{5 \sqrt{x}(\sqrt{x}+2 \sqrt{y})}{x-2 y}$ B) $\frac{5 \sqrt{x}(\sqrt{x}+2 \sqrt{y})}{x-4 y}$

Multiple Choice

Rationalize the denominator. Assume that all variables represent positive real numbers and that the denominator is not zero.
- $\frac{5 \sqrt{x}}{\sqrt{x}-2 \sqrt{y}}$

A) $\frac{5 \sqrt{x}(\sqrt{x}+2 \sqrt{y}) }{x-2 y}$

B) $\frac{5 \sqrt{x}(\sqrt{x}+2 \sqrt{y}) }{x-4 y}$

C) $\frac{5 \sqrt{x}(\sqrt{x}-2 \sqrt{y}) }{x+4 y}$

D) $\frac{5 \sqrt{x}(\sqrt{x}+2 \sqrt{y}) }{x+2 y}$