Đáp án + Giải thích các bước giải :
`c)`
`(3/(sqrt5-sqrt2)+4/(sqrt6+sqrt2))(sqrt3-1)^2`
`=([3(sqrt5+sqrt2)]/[(sqrt5-sqrt2)(sqrt5+sqrt2)]+[4(sqrt6-sqrt2)]/[(sqrt6-sqrt2)(sqrt6+sqrt2)])(sqrt3-1)^2`
`=([3(sqrt5+sqrt2)]/(5-2)+[4(sqrt6-sqrt2)]/(6-2))(sqrt3-1)^2`
`=(sqrt5+sqrt2+sqrt6-sqrt2)(3-2sqrt3+1)`
`=(sqrt5+sqrt6)(4-2sqrt3)`
`=4sqrt5-2sqrt15+4sqrt6-2sqrt18`.