Rationalize the Denominator $\frac { \sqrt { x } - \sqrt { y } } { \sqrt { 2 x } + \sqrt { 3 y } }$

question 290

Multiple Choice

Rationalize the denominator. Assume that all variables represent nonnegative numbers and that the denominator is not
zero.
- $\frac { \sqrt { x } - \sqrt { y } } { \sqrt { 2 x } + \sqrt { 3 y } }$

• A) \(\frac { x \sqrt { 2 } - \sqrt { 3 x y } - \sqrt { 2 x y } + y \sqrt { 3 } } { 2 x - 3 y }\)
• B) \(\frac { \sqrt { 2 x } - \sqrt { 5 x y } + \sqrt { 3 y } } { 2 x + 3 y }\)
• C) \(\frac { x \sqrt { 2 } - \sqrt { 3 x y } - \sqrt { 2 x y } + y \sqrt { 3 } } { 2 x + 3 y }\)
• D) \(\frac { \sqrt { 2 x } - \sqrt { 5 x y } + \sqrt { 3 y } } { 2 x - 3 y }\)

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