Use the quotient rule to divide and simplify.
-$\sqrt { \frac { 486 \mathrm { r } ^ { 2 } \mathrm { y } } { \mathrm { x } ^ { 4 } } }$
A) $\frac { 9 r \sqrt { 6 y } } { x ^ { 2 } }$
B) $\frac { r \sqrt { 486 y } } { x ^ { 2 } }$
C) $\frac { 9 \sqrt { 6 r ^ { 2 } y } } { x ^ { 2 } }$
D) $\frac { 81 r \sqrt { 6 y } } { x ^ { 2 } }$

Question

Quizplus · Accepted Answer

First, simplify the expression under the square root: $ \sqrt { \frac { 486 r ^ { 2 } y } { x ^ { 4 } } } = \sqrt { \frac { 9^2 \cdot 6 r ^ { 2 } y } { x ^ { 4 } } } = \frac { 9 r \sqrt { 6 y } } { x ^ { 2 } }$, since $ \sqrt { 9^2 } = 9 $, $ \sqrt { r^2 } = r $, and the square root of $ x^4 $ is $ x^2 $.

Use the Quotient Rule to Divide and Simplify 486r2yx4\sqrt { \frac { 486 \mathrm { r } ^ { 2 } \mathrm { y } } { \mathrm { x } ^ { 4 } } }x4486r2y​​

Use the Quotient Rule to Divide and Simplify $\sqrt { \frac { 486 \mathrm { r } ^ { 2 } \mathrm { y } } { \mathrm { x } ^ { 4 } } }$