Simplify by Rationalizing the Denominator $\frac { \sqrt { 405 x } } { x + \sqrt { y } }$

question 153

Multiple Choice

Simplify by rationalizing the denominator.
- $\frac { \sqrt { 405 x } } { x + \sqrt { y } }$

• A) \(\frac { 9 x \sqrt { 5 x } - 9 \sqrt { 5 x y } } { x - y }\)
• B) \(\frac { 9 x \sqrt { 5 x } - 9 \sqrt { 5 x y } } { x ^ { 2 } - y }\)
• C) \(\frac { 9 x \sqrt { 5 x } + 9 \sqrt { 5 x y } } { x ^ { 2 } - y ^ { 2 } }\)
• D) \(\frac { 9 x \sqrt { 5 x } - 9 \sqrt { 5 x y } } { x ^ { 2 } - y ^ { 2 } }\)

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Definitions:

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The smallest amount that must be maintained in a bank account to avoid penalties, such as service charges.

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Financial services where checks can be cashed for a fee without needing a bank account.

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A trade association representing the United States banking industry, aimed at fostering a safe and competitive banking system.

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Transactions demand refers to the amount of money that people hold for the purpose of making everyday purchases and transactions.