Đáp án+Giải thích các bước giải:
`\sqrt{4-2\sqrt3}.\sqrt{3+\sqrt8}`
`=\sqrt{4-2\sqrt3}.\sqrt{3+\sqrt{4.2}}`
`=\sqrt{4-2\sqrt3}.\sqrt{3+\sqrt{4}.\sqrt{2}}`
`=\sqrt{4-2\sqrt3}.\sqrt{3+2\sqrt2}`
`=\sqrt{3-2\sqrt3+1}.\sqrt{2+2\sqrt2+1}`
`=\sqrt{(\sqrt3)^2-2.\sqrt{3}.1+1^2}.\sqrt{(\sqrt2)^2+2\sqrt{2}.1+1^2}`
`=\sqrt{(\sqrt3-1)^2}.\sqrt{(\sqrt2+1)^2}`
`=|\sqrt3-1|.|\sqrt2+1|`
`=(\sqrt3-1)(\sqrt2+1)`
`=\sqrt6+\sqrt3-\sqrt2-1`