6.1.1 and Rationalizing the Denominator

$$\frac{\sqrt{15}}{6}$$  

$$\frac{\sqrt{15}}{18}$$  

$$\frac{5\sqrt{3}}{6}$$  

$$\frac{5\sqrt{3}}{18}$$  

$$\frac{\sqrt{96}}{6}$$  

$$\frac{2\sqrt{6}}{3}$$  

$$\frac{2\sqrt{96}}{12}$$  

$$\frac{4\sqrt{2}}{2\sqrt{3}}$$  

$$16-\sqrt{2}$$  

$$4-\sqrt{2}$$  

14

18

-4

$$1-\sqrt{5}$$  

$$1+\sqrt{5}$$  

$$-\frac{\left(3-3\sqrt{5}\right)}{2}$$  

$$\frac{7\sqrt{21}}{28}$$  

$$\frac{7\sqrt{21}}{196}$$  

$$\frac{\sqrt{21}}{28}$$  

$$\frac{\sqrt{21}}{4}$$  

$$\frac{4}{11}$$  

$$\frac{\sqrt{484}}{121}$$  

$$\frac{2}{11}$$  

$$\frac{2\sqrt{121}}{121}$$  

$$x=\frac{5\sqrt{6}}{2}$$

$$x=5$$

$$y\ =\ 10$$

$$y=10\sqrt{3}$$

$$x=12$$

$$x=12\sqrt{2}$$

$$y\ =\ 24$$

$$y=12\sqrt{2}$$

$$x=18$$

$$x=9\sqrt{2}$$

$$y\ =\ 9$$

$$y=9\sqrt{2}$$

$$x=14$$

$$x=7\sqrt{2}$$

$$y\ =\ 7$$

$$y=7\sqrt{2}$$

$$x=3$$

$$x=3\sqrt{2}$$

$$y\ =\ 6$$

$$y=6\sqrt{2}$$

$$x=4\sqrt{3}$$

$$x=4$$

$$y\ =\ 8\sqrt{3}$$

$$y=4\sqrt{6}$$

$$x=3\sqrt{3}$$

$$x=6$$

$$y\ =\ 3\sqrt{3}$$

$$y=6$$

$$x=\frac{11\sqrt{3}}{3}$$

$$x=11$$

$$y\ =\ 22$$

$$y=11\sqrt{3}$$