Chapter 10 - Section 10.5 - Rationalizing Numerators and Denominators of Radical Expressions - Exercise Set - Page 718: 55

$\dfrac{\sqrt{2x}}{11}=\dfrac{2x}{11\sqrt{2x}}$

$\dfrac{\sqrt{2x}}{11}$ Multiply this expression by $\dfrac{\sqrt{2x}}{\sqrt{2x}}$ and simplify if possible: $\dfrac{\sqrt{2x}}{11}=\dfrac{\sqrt{2x}}{11}\cdot\dfrac{\sqrt{2x}}{\sqrt{2x}}=\dfrac{\sqrt{(2x)^{2}}}{11\sqrt{2x}}=\dfrac{2x}{11\sqrt{2x}}$