Simplify.
-$\sqrt{\frac{54 \mathrm{a}^{2}}{\mathrm{c}^{2}}}$
A) $\frac{3 a \sqrt{6}}{c}$
B) $\frac{3 \sqrt{6 a^{2}}}{\mathrm{c}}$
C) $\frac{9 \mathrm{a} \sqrt{6}}{\mathrm{c}}$
D) $\frac{\mathrm{a} \sqrt{54}}{\mathrm{C}}$

Question

Quizplus · Accepted Answer

The expression simplifies to $\frac{3a\sqrt{6}}{c}$ by factoring out the square root of $54$ as $3\sqrt{6}$ and $a^2$ as $a^2$, and $c^2$ remains in the denominator as $c$.

Simplify - 54a2c2\sqrt{\frac{54 \mathrm{a}^{2}}{\mathrm{c}^{2}}}c254a2​​ A) 3a6c\frac{3 a \sqrt{6}}{c}c3a6​​ B) 36a2c\frac{3 \sqrt{6 a^{2}}}{\mathrm{c}}c36a2​​ C) 9a6c\frac{9 \mathrm{a} \sqrt{6}}{\mathrm{c}}c9a6​​

Simplify
- $\sqrt{\frac{54 \mathrm{a}^{2}}{\mathrm{c}^{2}}}$ A) $\frac{3 a \sqrt{6}}{c}$ B) $\frac{3 \sqrt{6 a^{2}}}{\mathrm{c}}$ C) $\frac{9 \mathrm{a} \sqrt{6}}{\mathrm{c}}$