Simplifying Radicals by Rationalizing worksheet with problems for rationalizing denominators, divided into two sections.

Final Answer:
Section A:
1) $\frac{3\sqrt{2}}{2}$
2) $\frac{11\sqrt{5}}{5}$
3) $\frac{9\sqrt{7}}{7}$
4) $\frac{4\sqrt{11}}{11}$
5) $\frac{20\sqrt{13}}{13}$
6) $5\sqrt{3}$
7) $7\sqrt{2}$
8) $4\sqrt{5}$
9) $2\sqrt{11}$
10) $\frac{4\sqrt{6}}{3}$
11) $\frac{4\sqrt{7}}{3}$
12) $\frac{6\sqrt{3}}{5}$
13) $\frac{\sqrt{4}}{14}$ or $\frac{1}{7}$
14) $\frac{5\sqrt{5}}{3}$
15) $3\sqrt{2}$
16) $3$
17) $5$
18) $8$
19) $7\sqrt{2}$
20) $2\sqrt{6}$

Section B:
1) $22 + 11\sqrt{3}$
2) $-2 - \sqrt{5}$
6) $6 + 2\sqrt{3}$
7) $7\sqrt{2} - 7$
11) $\frac{3\sqrt{11} - 4\sqrt{11}}{2}$ → Correction: $\frac{12 - 4\sqrt{11}}{9 - 11} = \frac{12 - 4\sqrt{11}}{-2} = -6 + 2\sqrt{11}$
12) $\frac{\sqrt{3} + 1}{2}$

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