Perform the indicated operation. Assume that all variables represent positive numbers.
-$\sqrt { \frac { 6 } { 16 } } + \sqrt { \frac { 150 } { 9 } }$

Question

Quizplus · Accepted Answer

First, simplify each square root: $\sqrt{\frac{6}{16}} = \frac{\sqrt{6}}{4}$ and $\sqrt{\frac{150}{9}} = \frac{5\sqrt{6}}{3}$. Then, find a common denominator and add: $\frac{\sqrt{6}}{4} + \frac{5\sqrt{6}}{3} = \frac{3\sqrt{6}}{12} + \frac{20\sqrt{6}}{12} = \frac{23\sqrt{6}}{12}$.

Perform the Indicated Operation 616+1509\sqrt { \frac { 6 } { 16 } } + \sqrt { \frac { 150 } { 9 } }166​​+9150​​

Perform the Indicated Operation $\sqrt { \frac { 6 } { 16 } } + \sqrt { \frac { 150 } { 9 } }$