Rationalize the denominator and simplify. Assume all variables represent nonnegative real numbers.
-$\sqrt { \frac { 49 } { 12 } }$
A) $\frac { 7 \sqrt { 3 } } { 3 }$
B) $\frac { 7 \sqrt { 3 } } { 6 }$
C) 12
D) $7 \sqrt { 3 }$

Question

Quizplus · Accepted Answer

To rationalize the denominator, multiply the numerator and the denominator by $\sqrt{12}$. This gives $\frac{\sqrt{49 \times 12}}{12}$. Simplifying, $\sqrt{49} = 7$ and $\sqrt{12} = 2\sqrt{3}$, so the expression becomes $\frac{7 \times 2\sqrt{3}}{12} = \frac{14\sqrt{3}}{12} = \frac{7\sqrt{3}}{6}$.

Rationalize the Denominator and Simplify 4912\sqrt { \frac { 49 } { 12 } }1249​​

Rationalize the Denominator and Simplify $\sqrt { \frac { 49 } { 12 } }$