`\sqrt{4-2\sqrt{3})+1/(\sqrt3-2`
`=\sqrt{3-2\sqrt3+1}+1/(\sqrt3-2`
`=\sqrt{(\sqrt3-1)^2}+1/(\sqrt3-2`
`=\sqrt3-1+1/(\sqrt3-2`
`=((\sqrt3-1)(\sqrt3-2))/(\sqrt3-2)+1/(\sqrt3-2)`
`=((\sqrt3-1)(\sqrt3-2)+1)/(sqrt3-2)`
`=(6-3\sqrt3)/(\sqrt3-2`
`=(3(2-\sqrt3))/(\sqrt3-2`
`=-3`