Rationalize the Numerator and Simplify $\frac { \sqrt { x } + 2 \sqrt { y } } { 3 \sqrt { x } }$

question 106

Multiple Choice

Rationalize the numerator and simplify. Assume all variables represent positive real numbers.
- $\frac { \sqrt { x } + 2 \sqrt { y } } { 3 \sqrt { x } }$

• A) \(\frac { x + 4 y } { 3 x + 6 \sqrt { x y } }\)
• B) \(\frac { x - 2 y } { 3 x - 6 \sqrt { x y } }\)
• C) \(\frac { x - 4 y } { 3 x - 6 \sqrt { x y } }\)
• D) \(\frac { x - 4 y } { 3 x + 6 \sqrt { x y } }\)

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