Use the quotient rule to divide and simplify.
-$\sqrt { \frac { 96 a ^ { 2 } b } { c ^ { 2 } } }$
A) $\frac { a \sqrt { 96 b } } { c }$
B) $\frac { 16 a \sqrt { 6 b } } { c }$
C) $\frac { 4 \sqrt { 6 a ^ { 2 } b } } { c }$
D) $\frac { 4 a \sqrt { 6 b } } { c }$

Question

Quizplus · Accepted Answer

First, simplify the expression under the square root: $\sqrt { \frac { 96 a ^ { 2 } b } { c ^ { 2 } } } = \sqrt { \frac { 96 a ^ { 2 } b } { 1 } } \cdot \sqrt { \frac { 1 } { c ^ { 2 } } } = \frac { \sqrt { 96 a ^ { 2 } b } } { c }$. Simplify $\sqrt{96}$ to $4\sqrt{6}$ and take $a$ outside the square root since $a^2$ under the square root is $a$. This gives $\frac { 4 a \sqrt { 6 b } } { c }$.

Use the Quotient Rule to Divide and Simplify 96a2bc2\sqrt { \frac { 96 a ^ { 2 } b } { c ^ { 2 } } }c296a2b​​

Use the Quotient Rule to Divide and Simplify $\sqrt { \frac { 96 a ^ { 2 } b } { c ^ { 2 } } }$