`#tnvt`
`\frac{\sqrt{2-\sqrt{3}}}{\sqrt{2}-\sqrt{6}}`
`=\frac{\sqrt{2}.\sqrt{2-\sqrt{3}}}{\sqrt{2}(\sqrt{2}-\sqrt{6})}`
`=\frac{\sqrt{4-2\sqrt{3}}}{\sqrt{4}-\sqrt{12}}`
`=\frac{\sqrt{3-2.\sqrt{3}.1+1}}{2-2\sqrt{3}}`
`=\frac{\sqrt{(\sqrt{3}-1)^2}}{2(1-\sqrt{3})}`
`=\frac{|\sqrt{3}-1|}{-2(\sqrt{3}-1)}`
`=\frac{\sqrt{3}-1}{-2(\sqrt{3}-1)}`
`=\frac{1}{-2}`
`=-1/2`