Choose the one alternative that best completes the statement or answers the question.
Multiply. Assume all variables represent nonnegative real numbers.
-$\sqrt { 15 x ^ { 3 } } \cdot \sqrt { 15 x ^ { 5 } }$
A) $\sqrt { 15 x ^ { 4 } }$
B) $x \sqrt { 30 }$
C) $15 x ^ { 4 }$
D) $\sqrt { 225 \mathrm { x } ^ { 8 } }$

Question

Quizplus · Accepted Answer

When multiplying square roots, you multiply the numbers inside the roots: $\sqrt{15x^3} \cdot \sqrt{15x^5} = \sqrt{(15x^3)(15x^5)} = \sqrt{225x^8}$. Simplifying $\sqrt{225x^8}$ gives $15x^4$.

Choose the One Alternative That Best Completes the Statement or Answers