Đáp án+Giải thích các bước giải:
`\sqrt{4-2\sqrt{3}}+\sqrt{3-2\sqrt{2}}`
`=\sqrt{(\sqrt{3}-1)^2}+\sqrt{(\sqrt{2}-1)^2}`
`=|\sqrt{3]-1|+|\sqrt{2}-1|`
`=\sqrt{3}-1+\sqrt{2]-1`
`=\sqrt{3}+\sqrt{2}-2`
`\sqrt{5+2\sqrt{6}}+\sqrt{5-2\sqrt{6}}`
`=\sqrt{(\sqrt{3}+\sqrt{2})^2}+\sqrt{(\sqrt{3}-\sqrt{2})^2}`
`=|\sqrt{3}+\sqrt{2}|+|\sqrt{3}-\sqrt{2}|`
`=\sqrt{3]+\sqrt{2}+\sqrt{3}-\sqrt{2}`
`=2\sqrt{3}`
`\sqrt{10-2\sqrt{21}}+\sqrt{9-2\sqrt{14}}`
`=\sqrt{(\sqrt{7}-\sqrt{3})^2}+\sqrt{(\sqrt{7}-\sqrt{2})^2}`
`=|\sqrt{7}-\sqrt{3}|+|\sqrt{7}-\sqrt{2}|`
`=\sqrt{7}-\sqrt{3}+\sqrt{7]-\sqrt{2}`
`=2\sqrt{7}-\sqrt{3}-\sqrt{2}`
`\sqrt{9-2\sqrt{18}}+\sqrt{10-2\sqrt{24}}`
`=\sqrt{(\sqrt{6}-\sqrt{3})^2}+\sqrt{(\sqrt{6}-\sqrt{4})^2}`
`=\sqrt{6}-\sqrt{3}+\sqrt{6}-2`
`=2\sqrt{6}-\sqrt{3}-2`
