`a)(\sqrt{1/5}-\sqrt{9/5}+\sqrt{5}):\sqrt{5}`
`=(\sqrt{5/[5^2]}-\sqrt{(3/5)^2 .5}+\sqrt{5}):\sqrt{5}`
`=(1/5\sqrt{5}-3/5\sqrt{5}+\sqrt{5}):\sqrt{5}`
`=3/5\sqrt{5}:\sqrt{5}=3/5`
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`b)4\sqrt{2/9}+\sqrt{2}+\sqrt{1/18}`
`=4\sqrt{(1/3)^2 .2}+\sqrt{2}+\sqrt{(1/6)^2 .2}`
`=4/3\sqrt{2}+\sqrt{2}+1/6\sqrt{2}`
`=5/2\sqrt{2}`