Đáp án + Giải thích các bước giải:
`o.`
`(1-(sqrt3-1)/2):((sqrt3-1)/2+2)`
`=[2-(sqrt3-1)]/2:(sqrt3-1+4)/2`
`=(2-sqrt3+1)/2:(sqrt3+3)/2`
`=(3-sqrt3)/2:(sqrt3+3)/2`
`=(3-sqrt3)/(3+sqrt3)`
`=[sqrt3(sqrt3-1)]/[sqrt3(sqrt3+1)]`
`=(sqrt3-1)/(sqrt3+1)`
`=[(sqrt3-1)(sqrt3-1)]/[(sqrt3+1)(sqrt3-1)]=(3-2sqrt3+1)/(3-1)`
`=(4-2sqrt3)/2=[2(2-sqrt3)]/2=2-sqrt3`
`p.` `(sqrt5-2)/(5+2sqrt5)-1/(2+sqrt5)+1/(sqrt5)`
`=(sqrt5-2)/(5+2sqrt5)-(2-sqrt5)/(4-5)+(sqrt5)/5`
`=(sqrt5-2)/[sqrt5(sqrt5+2)]-(2-sqrt5)/(-1)+(sqrt5)/5`
`=(sqrt5-2)/[sqrt5(sqrt5+2)]-[-(2-sqrt5)]+sqrt5/5`
`=(sqrt5-2)/[sqrt5(sqrt5+2)]-(sqrt5-2)+sqrt5/5`
`=(9sqrt5-20)/5-[5(sqrt5-2)]/5+(sqrt5)/5`
`=(9sqrt5-20-5sqrt5+10+sqrt5)/5`
`=(5sqrt5-10)/5=[5(sqrt5-2)]/5=sqrt5-2`.
