1) $\frac{\sqrt{21}}{3}$
2) $\frac{\sqrt{170}}{10}$
3) $\frac{\sqrt{6}}{15}$
4) $\frac{11\sqrt{5}}{15}$
5) $\frac{2\sqrt{3}}{x}$
6) $\frac{7\sqrt{5k}}{k}$
7) $\frac{\sqrt{15}}{5y^2}$
8) $\frac{\sqrt{7}(1+\sqrt{3})}{-2}$
9) $\frac{a + \sqrt{ab}}{a - b}$
10) $\frac{(1-\sqrt{3})(2-\sqrt{5})}{-1}$
11) $-(1 + \sqrt{2})$
12) $\frac{7(5 - \sqrt{3})}{22}$
13) $-1$
14) $\frac{2\sqrt{2} - 7\sqrt{5}}{\sqrt{5} - 3\sqrt{2}}$ (Rationalize denominator: $\frac{(2\sqrt{2} - 7\sqrt{5})(\sqrt{5} + 3\sqrt{2})}{-13}$)
15) $\frac{(\sqrt{2} + \sqrt{3})(\sqrt{5} - \sqrt{2})}{3}$
16) $\frac{x^2\sqrt{y}}{5y^3}$
17) $\frac{\sqrt{66}}{18}$
18) $\frac{m\sqrt{ny}}{y}$
Parent Tip: Review the logic above to help your child master the concept of simplifying radical worksheet.
