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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Definitions:

Standard Rate

A predetermined cost per unit of measure or rate that is used in budgeting and costing calculations.

Actual Rate

The real, observed rate at which something occurs, often used in financial contexts to specify interest rates or exchange rates.

Poorly Trained Workers

Refers to employees who have not received adequate training to perform their job roles efficiently, leading to potential reductions in productivity and quality.

Unfavorable Effect

A situation or outcome in financial analysis or performance metrics where actual results are worse than planned or expected results.