Simplify the expression without a calculator. Assume variables are positive. $$- \sqrt { \frac { 75 x ^ { 4 } y } { 3 x ^ { 2 } y } }$$
A) $- 5 x$
B) $25 y$
C) $75 x ^ { 2 }$
D) 6
E) $\frac { 75 } { 3 } x$

Question

Quizplus · Accepted Answer

Simplifying the expression under the square root gives $\sqrt{ \frac{75x^4y}{3x^2y} } = \sqrt{25x^2} = 5x$. The negative sign outside the square root makes the answer $-5x$.

Simplify the Expression Without a Calculator −75x4y3x2y- \sqrt { \frac { 75 x ^ { 4 } y } { 3 x ^ { 2 } y } }−3x2y75x4y​​

Simplify the Expression Without a Calculator $- \sqrt { \frac { 75 x ^ { 4 } y } { 3 x ^ { 2 } y } }$