In the Study of Calculus, Students Sometimes Rewrite an Expression $\frac { \sqrt { 11 } - \sqrt { 3 } } { 6 }$

question 16

Multiple Choice

In the study of calculus, students sometimes rewrite an expression by rationalizing the numerator. Rationalize the numerator for the expression below. ( Note: The results will not be in simplest radical form.) $\frac { \sqrt { 11 } - \sqrt { 3 } } { 6 }$

• A) \(\frac { 56 } { 3 ( \sqrt { 11 } + \sqrt { 3 } ) }\)
• B) \(\frac { 19 } { 6 ( \sqrt { 11 } + \sqrt { 3 } ) }\)
• C) \(\frac { 7 } { 3 ( \sqrt { 11 } + \sqrt { 3 } ) }\)
• D) \(\frac { 5 } { 6 ( \sqrt { 11 } + \sqrt { 3 } ) }\)
• E) \(\frac { 4 } { 3 ( \sqrt { 11 } + \sqrt { 3 } ) }\)

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