Simplify the radical. Assume that all variables represent positive numbers.
-$\sqrt { \frac { 125 x ^ { 2 } y } { 49 } }$
A) $\frac { 5 x \sqrt { 5 y } } { 7 }$
B) $25 x \sqrt { 5 y }$
C) $x \sqrt { \frac { 125 y } { 7 } }$
D) $\frac { 5 \sqrt { 5 x ^ { 2 } y } } { 7 }$

Question

Quizplus · Accepted Answer

The expression simplifies to $\frac { 5 x \sqrt { 5 y } } { 7 }$ by taking the square root of both the numerator and denominator separately and simplifying. $125 = 5^3$ and $x^2$ under the square root simplifies to $x$, while $49 = 7^2$ simplifies to $7$.

Simplify the Radical 125x2y49\sqrt { \frac { 125 x ^ { 2 } y } { 49 } }49125x2y​​

Simplify the Radical $\sqrt { \frac { 125 x ^ { 2 } y } { 49 } }$