Đáp án:
`M=-2.`
Giải thích các bước giải:
`M=(sqrt6+sqrt2)(sqrt3-2)sqrt{sqrt3+2}`
`=sqrt2(sqrt3+1)(sqrt3-2)sqrt{2+sqrt3}`
`=-sqrt2(sqrt3+1)(2-sqrt3)sqrt{2+sqrt3}`
`=-sqrt2(sqrt3+1)sqrt{2-sqrt3}.sqrt{2-sqrt3}sqrt{2+sqrt3}`
`=-(sqrt3+1)sqrt{4-2sqrt3}.sqrt{(2-sqrt3)(2+sqrt3)}`
`=-(sqrt3+1)sqrt{3-2sqrt3+1}.sqrt{4-3}`
`=-(sqrt3+1)sqrt{(sqrt3-1)^2}.1`
`=-(sqrt3+1)(sqrt3-1)`
`=-(3-1)=-2`.