Simplify the radical. Assume that all variables represent positive numbers.
-$\sqrt { \frac { 490 } { x ^ { 2 } } }$
A) $\frac { 7 \sqrt { 10 } } { x }$
B) $\frac { 70 } { x }$
C) $\frac { \sqrt { 490 } } { x }$
D) $\sqrt { \frac { 490 } { x ^ { 2 } } }$

Question

Quizplus · Accepted Answer

The radical $\sqrt { \frac { 490 } { x ^ { 2 } } }$ simplifies to $\frac { \sqrt { 490 } } { \sqrt { x ^ { 2 } } }$. Since $\sqrt { 490 } = \sqrt { 49 \times 10 } = 7\sqrt { 10 }$ and $\sqrt { x ^ { 2 } } = x$, the simplified form is $\frac { 7 \sqrt { 10 } } { x }$.

Simplify the Radical 490x2\sqrt { \frac { 490 } { x ^ { 2 } } }x2490​​

Simplify the Radical $\sqrt { \frac { 490 } { x ^ { 2 } } }$