Bài này cũng dễ thôi tách `4=2+2=\sqrt4+\sqrt4`
`(sqrt2+sqrt3+sqrt6+sqrt8+4)/(sqrt2+sqrt3+sqrt4)`
`=(sqrt2+sqrt3+sqrt6+sqrt8+2+2)/(sqrt2+sqrt3+sqrt4)`
`=(sqrt2+sqrt3+sqrt4+sqrt4+sqrt6+sqrt8)/(sqrt2+sqrt3+sqrt4)`
`=(sqrt2+sqrt3+sqrt4+sqrt2(sqrt2+sqrt3+sqrt4))/(sqrt2+sqrt3+sqrt4)`
`=((sqrt2+sqrt3+sqrt4)(sqrt2+1))/(sqrt2+sqrt3+sqrt4)`
`=sqrt2+1`