Đáp án+Giải thích các bước giải:
`(\sqrt{3}-\sqrt{2})\sqrt{5+2\sqrt{6}}`
`=(\sqrt{3}-\sqrt{2})\sqrt{3+2+2.\sqrt{3}.\sqrt{2}}`
`=(\sqrt{3}-\sqrt{2})\sqrt{(\sqrt{3})^2+2.\sqrt{3}.\sqrt{2}+(\sqrt{2})^2}`
`=(\sqrt{3}-\sqrt{2})\sqrt{(\sqrt{3}+\sqrt{2})^2}`
`=(\sqrt{3}-\sqrt{2})|\sqrt{3}+\sqrt{2}|`
`=(\sqrt{3}-\sqrt{2})(\sqrt{3}+\sqrt{2})`
`=3-2`
`=1`