Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Practice and Problem-Solving Exercises - Page 610: 45

$2 \sqrt 11$

$\frac{22}{\sqrt 11}$ To simplify this, we cannot have a radical in the denominator. We multiply $\frac{22}{\sqrt 11}$ by $\frac{ \sqrt 11}{ \sqrt 11}$ $\frac{22}{\sqrt 11} \times \frac{ \sqrt 11}{ \sqrt 11}$ $\frac{22 \sqrt 11}{\sqrt 11^{2}}$ Square root of $11^{2}$ is 11 because 11 x 11 = $11^{2}$ $\frac{22 \sqrt 11}{11}$ $22 \div 11$ can also be written as $2 \div 1$ = 2 $2 \sqrt 11$