Rationalize the Numerator and Simplify $\frac { \sqrt { x } - 4 \sqrt { y } } { 2 \sqrt { x } }$

question 69

Multiple Choice

Rationalize the numerator and simplify. Assume all variables represent positive real numbers.
- $\frac { \sqrt { x } - 4 \sqrt { y } } { 2 \sqrt { x } }$

• A) \(\frac { x - 4 y } { 2 x + 8 \sqrt { x y } }\)
• B) \(\frac { x - 16 y } { 2 x + 8 \sqrt { x y } }\)
• C) \(\frac { x + 16 y } { 2 x - 8 \sqrt { x y } }\)
• D) \(\frac { x - 16 y } { 2 x - 8 \sqrt { x y } }\)

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The likelihood of a specific event or outcome occurring.

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A theory in economics that predicts how individuals make choices under conditions of uncertainty to maximize their satisfaction.

Probability

A measure of the likelihood that a certain event will occur, often expressed as a number between 0 and 1.