Rationalize the Denominator and Simplify $\frac { 9 \sqrt { 3 } + \sqrt { 11 } } { 7 \sqrt { 3 } + \sqrt { 13 } }$

question 6

Multiple Choice

Rationalize the denominator and simplify.
- $\frac { 9 \sqrt { 3 } + \sqrt { 11 } } { 7 \sqrt { 3 } + \sqrt { 13 } }$

• A) \(\frac { 189 + 7 \sqrt { 33 } - 9 \sqrt { 39 } - \sqrt { 143 } } { 134 }\)
• B) \(\frac { 189 - 2 \sqrt { 6 } - \sqrt { 143 } } { 134 }\)
• C) \(\frac { 189 + 7 \sqrt { 33 } + 9 \sqrt { 39 } + \sqrt { 143 } } { 134 }\)
• D) \(\frac { 189 + 7 \sqrt { 33 } - 9 \sqrt { 39 } - \sqrt { 143 } } { 160 }\)

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