Choose the one alternative that best completes the statement or answers the question.
Multiply. Assume all variables represent nonnegative real numbers.
-$\sqrt { 15 } \cdot \sqrt { 12 }$
A) $- 10 \sqrt { 3 }$
B) $6 \sqrt { 5 }$
C) $- 6 \sqrt { 5 }$
D) $10 \sqrt { 3 }$

Question

Quizplus · Accepted Answer

$$\sqrt {15} \cdot \sqrt {12} = \sqrt{(3\cdot5)}\cdot\sqrt{(2^2\cdot3)} = \sqrt{(3\cdot2^2)}\cdot\sqrt{(5\cdot3)}=2\sqrt{15}\cdot\sqrt{3}=6\sqrt{5}$$

Choose the One Alternative That Best Completes the Statement or Answers