`#tnvt`
`b)6\sqrt{1/2}(2-\sqrt{2})+(\sqrt{2}-3)^2`
`=\frac{6}{\sqrt{2}}.2-\frac{6}{\sqrt{2}}.\sqrt{2}+2+9-6\sqrt{2}`
`=6\sqrt{2}-6+11-6\sqrt{2}`
`=4`
`c)\sqrt{14+6\sqrt{5}}-\sqrt{(\sqrt{5}-1)^2}`
`=\sqrt{(3+\sqrt{5})^2}-|\sqrt{5}-1|`
`=3+\sqrt{5}-\sqrt{5}+1`
`=4`
`d)\frac{5-\sqrt{5}}{\sqrt{5}-1}-\frac{1}{\sqrt{5}+2}`
`=\frac{\sqrt{5}(\sqrt{5}-1)}{\sqrt{5}-1}-\frac{\sqrt{5}-2}{5-4}`
`=\sqrt{5}-\sqrt{5}+2`
`=2`
