Simplify.
-$\sqrt{\frac{162 r^{2}}{x^{4}}}$
A) $\frac{9 r \sqrt{2}}{x^{2}}$
B) $\frac{81 \mathrm{r} \sqrt{2}}{\mathrm{x}^{2}}$
C) $\frac{r \sqrt{162}}{x^{2}}$
D) $\frac{9 \sqrt{2 r^{2}}}{x^{2}}$

Question

Quizplus · Accepted Answer

First, simplify the square root: $\sqrt{\frac{162 r^{2}}{x^{4}}} = \sqrt{\frac{9*18 r^{2}}{x^{4}}} = \sqrt{\frac{9*2*9 r^{2}}{x^{4}}} = \frac{9r\sqrt{2}}{x^{2}}$.

Simplify - 162r2x4\sqrt{\frac{162 r^{2}}{x^{4}}}x4162r2​​ A) 9r2x2\frac{9 r \sqrt{2}}{x^{2}}x29r2​​ B) 81r2x2\frac{81 \mathrm{r} \sqrt{2}}{\mathrm{x}^{2}}x281r2​​ C) r162x2\frac{r \sqrt{162}}{x^{2}}x2r162​​

Simplify
- $\sqrt{\frac{162 r^{2}}{x^{4}}}$ A) $\frac{9 r \sqrt{2}}{x^{2}}$ B) $\frac{81 \mathrm{r} \sqrt{2}}{\mathrm{x}^{2}}$ C) $\frac{r \sqrt{162}}{x^{2}}$