Express the following expression in simplest radical form. All variables represent positive real numbers. $\sqrt { \frac { 11 } { 18 x ^ { 2 } } }$
A) $\frac { \sqrt { 22 } } { 6 x }$
B) $\frac { x \sqrt { 11 } } { 18 }$
C) $\frac { \sqrt { 22 } } { 18 x }$
D) $\frac { x \sqrt { 22 } } { 6 }$

Question

Quizplus · Accepted Answer

The expression simplifies to $\frac{\sqrt{11}}{\sqrt{18x^2}}$, which further simplifies to $\frac{\sqrt{11}}{\sqrt{9*2x^2}}$. This equals $\frac{\sqrt{11}}{3x\sqrt{2}}$, which can be rewritten as $\frac{\sqrt{11}\sqrt{2}}{3x\sqrt{2}\sqrt{2}}$, simplifying to $\frac{\sqrt{22}}{6x}$.

Express the Following Expression in Simplest Radical Form 1118x2\sqrt { \frac { 11 } { 18 x ^ { 2 } } }18x211​​

Express the Following Expression in Simplest Radical Form $\sqrt { \frac { 11 } { 18 x ^ { 2 } } }$