Simplify.
-$\sqrt{\frac{14}{\mathrm{r}^{4}}}$
A) $\frac{\sqrt{14 r^{4}}}{r^{4}}$
B) $\frac{\sqrt{14}}{r}$
C) $\frac{\sqrt{14}}{\sqrt{\mathrm{r}^{4}}}$
D) $\frac{\sqrt{14}}{r^{2}}$

Question

Quizplus · Accepted Answer

The square root of a fraction can be split into the square root of the numerator divided by the square root of the denominator. Thus, $\sqrt{\frac{14}{r^{4}}}$ simplifies to $\frac{\sqrt{14}}{\sqrt{r^{4}}}$, and since $\sqrt{r^{4}} = r^{2}$, the correct answer is $\frac{\sqrt{14}}{r^{2}}$.

Simplify - 14r4\sqrt{\frac{14}{\mathrm{r}^{4}}}r414​​ A) 14r4r4\frac{\sqrt{14 r^{4}}}{r^{4}}r414r4​​ B) 14r\frac{\sqrt{14}}{r}r14​​ C) 14r4\frac{\sqrt{14}}{\sqrt{\mathrm{r}^{4}}}r4​14​​ D) 14r2\frac{\sqrt{14}}{r^{2}}r214​​

Simplify
- $\sqrt{\frac{14}{\mathrm{r}^{4}}}$ A) $\frac{\sqrt{14 r^{4}}}{r^{4}}$ B) $\frac{\sqrt{14}}{r}$ C) $\frac{\sqrt{14}}{\sqrt{\mathrm{r}^{4}}}$ D) $\frac{\sqrt{14}}{r^{2}}$