`A=(\sqrt{8-2\sqrt12})/(\sqrt3-1)-\sqrt8`
`A=(\sqrt{6-2\sqrt2+12})/(\sqrt3-1)-\sqrt8`
`A=(\sqrt{(\sqrt6)^2-2\sqrt12+(\sqrt2)^2})/(\sqrt3-1)-\sqrt8`
`A=(\sqrt{(\sqrt6-\sqrt2)^2})/(\sqrt3-1)-\sqrt8`
`A=(\sqrt6-\sqrt2)/(\sqrt3-1)-\sqrt8`
`A=((\sqrt6-\sqrt2)(\sqrt3+1))/((\sqrt3-1)(\sqrt3+1))-\sqrt8`
`A=(3\sqrt2+\sqrt6-\sqrt6-\sqrt2)/2-\sqrt8`
`A=(3\sqrt2-\sqrt2)/2-\sqrt8`
`A=(2\sqrt2)/2-\sqrt8`
`A=\sqrt2-2\sqrt2`
`A=-\sqrt2`
