Simplify the radical. $\sqrt { \frac { 77 } { 16 } }$
A) $\frac { \sqrt { 11 } } { 4 }$
B) $\frac { 11 \sqrt { 7 } } { 4 }$
C) $\frac { \sqrt { 7 } } { 4 }$
D) $\frac { \sqrt { 77 } } { 4 }$
E) $\frac { 7 \sqrt { 11 } } { 4 }$

Question

Quizplus · Accepted Answer

Rewrite $\frac{77}{16}$ as $\frac{7 \cdot 11}{4^2}$. Taking the square root of this gives us $\frac{\sqrt{7 \cdot 11}}{4} = \frac{\sqrt{77}}{4}$, so the answer is $\boxed{	extbf{(D)}}$.

Simplify the Radical 7716\sqrt { \frac { 77 } { 16 } }1677​​

Simplify the Radical $\sqrt { \frac { 77 } { 16 } }$