Đáp án:
`4sqrt3`
Giải thích các bước giải:
`sqrt(4+2sqrt3)+sqrt(4-2sqrt3)-5/(sqrt3-2sqrt2)-5/(sqrt3+sqrt8)`
`=sqrt(3+2sqrt3+1)+sqrt(3-2sqrt3+1)-5(1/(sqrt3-2sqrt2)+1/(sqrt3+sqrt8))`
`=sqrt((sqrt3+1)^2)+sqrt((sqrt3-1)^2)-5(1/(sqrt3-2sqrt2)+1/(sqrt3+2sqrt2))`
`=sqrt3+1+sqrt3-1-5[(sqrt3+2sqrt2+sqrt3-2sqrt2)/((sqrt3-2sqrt2)(sqrt3+2sqrt2))]`
`=2sqrt3-5[(2sqrt3)/((sqrt3)^2-(2sqrt2)^2)]`
`=2sqrt3-5.(2sqrt3)/(3-8)`
`=2sqrt3-(10sqrt3)/(-5)`
`=2sqrt3+(10sqrt3)/(5)`
`=2sqrt3+2sqrt3`
`=4sqrt3`