Choose the one alternative that best completes the statement or answers the question.
Multiply. Assume all variables represent nonnegative real numbers.
-$\sqrt { 6 } \cdot \sqrt { 25 x ^ { 3 } }$
A) $\sqrt { 150 x ^ { 3 } }$
B) $5 \sqrt { 6 x ^ { 3 } }$
C) $x \sqrt { 150 x }$
D) $5 x \sqrt { 6 x }$

Question

Quizplus · Accepted Answer

The expression $\sqrt{6} \cdot \sqrt{25x^3}$ can be rewritten as $\sqrt{6 \cdot 25x^3}$. Simplifying inside the square root gives $\sqrt{150x^3}$. This can be further simplified to $5x\sqrt{6x}$ by taking out the perfect squares.

Choose the One Alternative That Best Completes the Statement or Answers