Math worksheet for simplifying radicals by rationalizing denominators, divided into two sections with various algebraic expressions.

Final Answer:
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) $\frac{\sqrt{4}}{7} = \frac{2}{7}$
14) $\frac{5\sqrt{5}}{3}$
15) $3\sqrt{2}$
16) $3$
17) $5$
18) $4$
19) $7\sqrt{2}$
20) $2$

Section B:
1) $11(2 + \sqrt{3})$
2) $2 + \sqrt{5}$
6) $12(3 + \sqrt{3})$
7) $7(\sqrt{2} - 1)$
11) $4(3 - \sqrt{11})$
12) $\frac{\sqrt{3} + 1}{2}$