Simplify.
-$\sqrt{\frac{11}{r^{4}}}$
A) $\frac{\sqrt{11}}{r^{2}}$
B) $\frac{\sqrt{11}}{r}$
C) $\frac{\sqrt{11}}{\sqrt{\mathrm{r}^{4}}}$
D) $\frac{\sqrt{11 r^{4}}}{r^{4}}$

Question

Quizplus · Accepted Answer

The square root of a fraction can be separated into the square root of the numerator and the square root of the denominator. Since $r^4$ is a perfect square, its square root is $r^2$, making the simplified form $\frac{\sqrt{11}}{r^2}$.

Simplify - 11r4\sqrt{\frac{11}{r^{4}}}r411​​ A) 11r2\frac{\sqrt{11}}{r^{2}}r211​​ B) 11r\frac{\sqrt{11}}{r}r11​​ C) 11r4\frac{\sqrt{11}}{\sqrt{\mathrm{r}^{4}}}r4​11​​ D) 11r4r4\frac{\sqrt{11 r^{4}}}{r^{4}}r411r4​​

Simplify
- $\sqrt{\frac{11}{r^{4}}}$ A) $\frac{\sqrt{11}}{r^{2}}$ B) $\frac{\sqrt{11}}{r}$ C) $\frac{\sqrt{11}}{\sqrt{\mathrm{r}^{4}}}$ D) $\frac{\sqrt{11 r^{4}}}{r^{4}}$