Đáp án+Giải thích các bước giải:
`1/\sqrt{3}+1/(3\sqrt{2})+1/\sqrt3*\sqrt{5/12-1/\sqrt6}`
`=1/\sqrt{3}+1/(3\sqrt{2})+1/\sqrt3*\sqrt{(5-2\sqrt6)/12}`
`=1/\sqrt{3}+1/(3\sqrt{2})+1/\sqrt3*\sqrt{(3-2\sqrt{3.2}+2)/12}`
`=1/\sqrt{3}+1/(3\sqrt{2})+1/\sqrt3*\sqrt{(\sqrt3-\sqrt2)^2/12}`
`=1/\sqrt{3}+1/(3\sqrt{2})+1/\sqrt3*|(\sqrt3-\sqrt2)/\sqrt{12}|`
`=1/\sqrt{3}+1/(3\sqrt{2})+1/\sqrt3*(\sqrt3-\sqrt2)/(2\sqrt3)`
`=1/\sqrt{3}+1/(3\sqrt{2})+1/(2\sqrt3)-1/(3\sqrt2)`
`=1/\sqrt{3}+1/(2\sqrt3)`
`=(2\sqrt3)/6+(\sqrt3)/6`
`=(3\sqrt3)/6`
`=\sqrt3/2`