Rationalize the Denominator and Simplify $\frac { 5 \sqrt { 2 } + \sqrt { 14 } } { 5 \sqrt { 2 } - \sqrt { 14 } }$

question 135

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\frac { 5 \sqrt { 2 } + \sqrt { 14 } } { 5 \sqrt { 2 } - \sqrt { 14 } }$

• A) \(\frac { 64 + 10 \sqrt { 28 } } { 36 }\)
• B) \(\frac { 32 + 10 \sqrt { 7 } } { 18 }\)
• C) \(\frac { 64 + 20 \sqrt { 7 } } { 36 }\)
• D) \(\frac { 16 + 5 \sqrt { 7 } } { 9 }\)

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