Đáp án+Giải thích các bước giải:
`sqrt{6+2sqrt2.sqrt{3-sqrt{sqrt{12}+4}}}`
`=sqrt{6+2sqrt2.sqrt{3-sqrt{4+2sqrt3}}}`
`=sqrt{6+2sqrt2.sqrt{3-sqrt{3+2sqrt3+1}}}`
`=sqrt{6+2sqrt2.sqrt{3-sqrt{(sqrt3+1)^2}}}`
`=sqrt{6+2sqrt2.sqrt{2-sqrt3}}`
`=sqrt{6+2sqrt{4-2sqrt3}}`
`=sqrt{6+2sqrt{3-2sqrt3+1}}`
`=sqrt{6+2sqrt{(sqrt3-1)^2}}`
`=sqrt{6+2(sqrt3-1)}`
`=sqrt{4+2sqrt3}`
`=sqrt{3+2sqrt3+1}`
`=sqrt{(sqrt3+1)^2}`
`=sqrt3+1`
