Simplify.
-$\sqrt{\frac{175 \mathrm{a}^{2}}{\mathrm{c}^{2}}}$
A) $\frac{5 \sqrt{7 a^{2}}}{\text { c }}$
B) $\frac{25 a \sqrt{7}}{\text { c }}$
C) $\frac{5 a \sqrt{7}}{c}$
D) $\frac{a \sqrt{175}}{c}$

Question

Quizplus · Accepted Answer

The expression simplifies to $\frac{5a\sqrt{7}}{c}$ by taking the square root of both the numerator and the denominator separately and simplifying. $175 = 25 \times 7$ and $25 = 5^2$, so $\sqrt{175a^2} = 5a\sqrt{7}$.

Simplify - 175a2c2\sqrt{\frac{175 \mathrm{a}^{2}}{\mathrm{c}^{2}}}c2175a2​​ A) 57a2 c \frac{5 \sqrt{7 a^{2}}}{\text { c }} c 57a2​​ B) 25a7 c \frac{25 a \sqrt{7}}{\text { c }} c 25a7​​

Simplify
- $\sqrt{\frac{175 \mathrm{a}^{2}}{\mathrm{c}^{2}}}$ A) $\frac{5 \sqrt{7 a^{2}}}{\text { c }}$ B) $\frac{25 a \sqrt{7}}{\text { c }}$