Đáp án+Giải thích các bước giải:
`a)3/(sqrt6-sqrt3)+4/(sqrt7+sqrt3)`
`=(3(sqrt6+sqrt3))/(6-3)+(4(sqrt7-sqrt3))/(7-3)`
`=sqrt6+sqrt3+sqrt7-sqrt3`
`=sqrt7+sqrt6`
`b)1/(4-3sqrt2)-1/(4+3sqrt2)`
`=(4+3sqrt2)/(16-18)-(4-3sqrt2)/(16-18)`
`=(4+3sqrt2-4+3sqrt2)/(-2)`
`=-3sqrt2`
`c)(sqrt5+sqrt3)/(sqrt5-sqrt3)+(sqrt5-sqrt3)/(sqrt5+sqrt3)`
`=(sqrt5+sqrt3)^2/(5-3)+(sqrt5-sqrt3)^2/(5-3)`
`=(5+2sqrt15+3+5-2sqrt15+3)/2`
`=8`
`d)(sqrt5-sqrt3)/(sqrt5+sqrt3)+(sqrt5+sqrt3)/(sqrt5-sqrt3)-(sqrt5+1)/(sqrt5-1)`
`=(sqrt5-sqrt3)^2/(5-3)+(sqrt5+sqrt3)^2/(5-3)-(sqrt5+1)^2/(5-1)`
`=(5-2sqrt5+3+5+2sqrt15+3)/2-(5+2sqrt5+1)/4`
`=8-(3+sqrt5)/2`
`=(13-sqrt5)/2`
`e)1/(sqrt2-sqrt3+sqrt5)`
`=(sqrt5+sqrt2)/((sqrt5+sqrt2)^2-3)`
`=(sqrt5+sqrt2)/(5+2+2sqrt10-3)`
`=(sqrt5+sqrt2)/(4+2sqrt10)`
`=((sqrt5+sqrt2)(2sqrt10-4))/(40-16)`
`=((sqrt5+sqrt2)(2sqrt10-4))/24`
`f)6/(sqrt2-sqrt3+3)`
`=(6(3+sqrt2-sqrt3))/(9+2+6sqrt2-3)`
`=(6(3+sqrt2-sqrt3))/(8+6sqrt2)`
`=(4(3+sqrt2-sqrt3))/(4+3sqrt2)`
`=(4(3+sqrt2-sqrt3)(4-3sqrt2))/(16-18)`
`=-2(3+sqrt2-sqrt3)(4-3sqrt2)`
