Use the Product Rule to Simplify Square Roots
-$\sqrt { 192 x ^ { 2 } }$
A) $8 | \times | \sqrt { 3 }$
B) $8 \sqrt { 3 x }$
C) $192 x$
D) $3 x \sqrt { 8 }$

Question

Quizplus · Accepted Answer

The correct simplification of $\sqrt{192x^2}$ is $8x\sqrt{3}$, but since the options do not exactly match this, the closest correct option is A, considering it might be a typographical error missing the $x$ variable. The simplification process involves factoring 192 into $64 \times 3$ and $x^2$ into $x \times x$, then taking the square root of $64$ and $x^2$ outside the radical, which gives $8x\sqrt{3}$.

Use the Product Rule to Simplify Square Roots - 192x2\sqrt { 192 x ^ { 2 } }192x2​

Use the Product Rule to Simplify Square Roots
- $\sqrt { 192 x ^ { 2 } }$