Simplify the radical $\sqrt { \frac { x ^ { 18 } } { 121 y ^ { 2 } } }$.
A) $\frac { x ^ { 18 } } { 11 y }$
B) $\frac { x ^ { 9 } } { 11 }$
C) $\frac { x } { 11 y }$
D) $\frac { x ^ { 9 } } { 11 y }$
E) $\frac { x ^ { 9 } } { y }$

Question

Quizplus · Accepted Answer

Using the property $\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$ and simplifying under the square root sign we get: $$\sqrt{\frac{x^{18}}{121y^2}}=\frac{\sqrt{x^{18}}}{\sqrt{121y^2}}=\frac{x^9}{11y}$$ Therefore, the answer is (D).

Simplify the Radical x18121y2\sqrt { \frac { x ^ { 18 } } { 121 y ^ { 2 } } }121y2x18​​

Simplify the Radical $\sqrt { \frac { x ^ { 18 } } { 121 y ^ { 2 } } }$