Đáp án+Giải thích các bước giải:
`7) (sqrt{4-2sqrt3})/(sqrt6-sqrt2)`
`=(sqrt{3-2sqrt3+1})/(sqrt6-sqrt2)`
`=(sqrt{(sqrt3-1)^2})/(sqrt6-sqrt2)`
`=(|sqrt3-1|)/(sqrt6-sqrt2)`
`=((sqrt3-1)(sqrt6+sqrt2))/((sqrt6-sqrt2)(sqrt6+sqrt2))`
`=(sqrt18+sqrt6-sqrt6-sqrt2)/(6-2)`
`=(sqrt18-sqrt2)/(6-2)`
`=(sqrt2(sqrt9-1))/4`
`=(sqrt2(3-1))/4`
`=sqrt2/2`
`=1/sqrt2`
`8) 1/(2+sqrt3)+sqrt2/sqrt6-2/(3+sqrt3)`
`=(2-sqrt3)/((2+sqrt3)(2-sqrt3))+1/sqrt3-(2(3-sqrt3))/((3+sqrt3)(3-sqrt3))`
`=(2-sqrt3)/4-3+1/sqrt3-(6-2sqrt3)/(9-3)`
`=(2-sqrt3)/1+sqrt3/3-(6-2sqrt3)/6`
`=(6(2-sqrt3)+2sqrt3-6+2sqrt3)/6`
`=(12-6sqrt3+2sqrt3-6+2sqrt3)/6`
`=(6-2sqrt3)/6`
`=(2(3-sqrt3))/6`
`=(3-sqrt3)/3`
