Đáp án+Giải thích các bước giải:
`a)\sqrt{3-2\sqrt{2}}-\sqrt{6+4\sqrt{2}}`
`=\sqrt{2-2\sqrt{2}+1}-\sqrt{4+4\sqrt{2}+2}`
`=\sqrt{(\sqrt{2}-1)^2}-\sqrt{(2+\sqrt{2})^2}`
`=|\sqrt{2}-1|-|2+\sqrt{2}|`
`=\sqrt{2}-1-2-\sqrt{2}`
`=-3`
`b)\sqrt{15-6\sqrt{6}}+\sqrt{33-12\sqrt{6}}`
`=\sqrt{9-6\sqrt{6}+6}+\sqrt{24-12\sqrt{6}+9}`
`=\sqrt{(3-\sqrt{6})^2}+\sqrt{(2\sqrt{6}-3)^2}`
`=|3-\sqrt{6}|+|2\sqrt{6}-3|`
`=3-\sqrt{6}+2\sqrt{6}-3`
`=\sqrt{6}`