Rationalize the Denominator and Simplify $\frac { 6 \sqrt { 2 } + \sqrt { 6 } } { 3 \sqrt { 2 } - \sqrt { 6 } }$

question 165

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\frac { 6 \sqrt { 2 } + \sqrt { 6 } } { 3 \sqrt { 2 } - \sqrt { 6 } }$

• A) \(\frac { 7 + 3 \sqrt { 3 } } { 2 }\)
• B) \(\frac { 42 + 9 \sqrt { 12 } } { 12 }\)
• C) \(\frac { 42 + 18 \sqrt { 3 } } { 12 }\)
• D) \(\frac { 21 + 9 \sqrt { 3 } } { 6 }\)

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Behaviors acquired through interaction with the environment and through the process of conditioning, as opposed to being innate.

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Enduring characteristics or qualities that define an individual's behavior, emotions, and thought patterns.

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