Simplify.
-$\sqrt { \frac { 2835 x ^ { 11 } } { 5 x ^ { 9 } } }$
A) $9 \times \sqrt { 35 }$
B) $x \sqrt { 567 }$
C) $9 x \sqrt { 7 }$
D) $9 x ^{10}\sqrt { 7 }$

Question

Quizplus · Accepted Answer

First, simplify the fraction inside the square root: $\sqrt { \frac { 2835 x ^ { 11 } } { 5 x ^ { 9 } } } = \sqrt { 567 x ^ { 2 } }$. Then, factor 567 to $81 \times 7$ or $9^2 \times 7$, and take $x^2$ as $x^2$. So, $\sqrt { 9^2 \times 7 \times x^2 } = 9x\sqrt{7}$.

Simplify - 2835x115x9\sqrt { \frac { 2835 x ^ { 11 } } { 5 x ^ { 9 } } }5x92835x11​​

Simplify
- $\sqrt { \frac { 2835 x ^ { 11 } } { 5 x ^ { 9 } } }$