Simplify.
-$\sqrt { 5 x ^ { 2 } } \sqrt { 15 x }$
A) $5 x \sqrt { 3 x ^ { 2 } }$
B) $5 x ^ { 2 } \sqrt { 3 x }$
C) $5 x \sqrt { 3 }$
D) $5 x \sqrt { 3 x }$

Question

Quizplus · Accepted Answer

Multiplying the two square roots together gives $\sqrt{5x^2} \cdot \sqrt{15x} = \sqrt{75x^3}$. Simplifying inside the square root gives $\sqrt{25x^2 \cdot 3x} = 5x\sqrt{3x}$, which matches option D.

Simplify - 5x215x\sqrt { 5 x ^ { 2 } } \sqrt { 15 x }5x2​15x​

Simplify
- $\sqrt { 5 x ^ { 2 } } \sqrt { 15 x }$