Simplify. Assume that all variables represent positive real numbers.
-$$\frac { \sqrt { 189 x ^ { 5 } y ^ { 6 } } } { \sqrt { 3 y ^ { 4 } } }$$
A) $3 x ^ { 4 } y ^ { 2 } \sqrt { 7 x y }$
B) $9 x ^ { 2 } y \sqrt { 7 x }$
C) $3 x ^ { 2 } y \sqrt { 7 x }$
D) $63 x y \sqrt { x }$

Question

Quizplus · Accepted Answer

First, simplify the expression inside the square root and divide: $\sqrt{\frac{189x^5y^6}{3y^4}} = \sqrt{63x^5y^2}$. Then, factor inside the square root to make it easier to simplify: $\sqrt{9 \cdot 7 \cdot x^4 \cdot x \cdot y^2} = 3x^2y\sqrt{7x}$.

Simplify Assume That All Variables Represent Positive Real Numbers 189x5y63y4\frac { \sqrt { 189 x ^ { 5 } y ^ { 6 } } } { \sqrt { 3 y ^ { 4 } } }3y4​189x5y6​​

Simplify Assume That All Variables Represent Positive Real Numbers $\frac { \sqrt { 189 x ^ { 5 } y ^ { 6 } } } { \sqrt { 3 y ^ { 4 } } }$