Simplify the expression. Assume all variables represent positive real numbers.
-$\sqrt { \frac { 112 a ^ { 2 } b } { c ^ { 2 } } }$
A) $\frac { 16 a \sqrt { 7 b } } { c }$
B) $\frac { a \sqrt { 112 b } } { c }$
C) $\frac { 4 \sqrt { 7 a ^ { 2 } b } } { c }$
D) $\frac { 4 a \sqrt { 7 b } } { c }$

Question

Quizplus · Accepted Answer

The expression simplifies to $\frac { 4 a \sqrt { 7 b } } { c }$ by factoring out the square root of $112$ as $4\sqrt{7}$ and simplifying the square root of $a^2$ to $a$ and $c^2$ to $c$.

Simplify the Expression 112a2bc2\sqrt { \frac { 112 a ^ { 2 } b } { c ^ { 2 } } }c2112a2b​​

Simplify the Expression $\sqrt { \frac { 112 a ^ { 2 } b } { c ^ { 2 } } }$