Rationalize the Denominator $\frac { 5 \sqrt { x } } { \sqrt { x } - 5 \sqrt { y } }$

question 72

Multiple Choice

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

• A) \(\frac { 5 \sqrt { x } ( \sqrt { x } + 5 \sqrt { y } ) } { x - 5 y }\)
• B) \(\frac { 5 \sqrt { x } ( \sqrt { x } + 5 \sqrt { y } ) } { x + 5 y }\)
• C) \(\frac { 5 \sqrt { x } ( \sqrt { x } + 5 \sqrt { y } ) } { x - 25 y }\)
• D) \(\frac { 5 \sqrt { x } ( \sqrt { x } - 5 \sqrt { y } ) } { x + 25 y }\)

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Definitions:

Tax Rate

The specified percentage of incomes that the government earmarks for collection from individuals or corporations as taxes.

Net Income

The total earnings of a company after subtracting all expenses and taxes.

Retained Earnings

Profits that a company decides to keep or reinvest in the business after dividends have been paid out to shareholders, reflecting ongoing financial health and potential for growth.

Net Income

The ultimate financial gain of a company after expenses and taxes are deducted from its total revenue.