$\textit{Bài 2:}$
`a,\sqrt{(3-2\sqrt{2})^2}+\sqrt{(3+2\sqrt{2})^2}`
`=|3-2\sqrt{2}|+|3+2\sqrt{2}|`
`=3-2\sqrt{2}+3+2\sqrt{2}`
`=6`
`b,\sqrt{(5-2\sqrt{6})^2}-\sqrt{(5+2\sqrt{6})^2}`
`=|5-2\sqrt{6}|-|5+2\sqrt{6}|`
`=5-2\sqrt{6}-(5+2\sqrt{6})`
`=5-2\sqrt{6}-5-2\sqrt{6}`
`=-4\sqrt{6}`
$\textit{Bài 3:}$
`a,\sqrt{5+2\sqrt{6}}-\sqrt{5-2\sqrt{6}}`
`=\sqrt{3+2\sqrt{6}+2}-\sqrt{3-2\sqrt{6}+2}`
`=\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})`
`=\sqrt{3}+\sqrt{2}-\sqrt{3}+\sqrt{2}`
`=2\sqrt{2}`
`b,\sqrt{7-2\sqrt{10}}-\sqrt{7+2\sqrt{10}}`
`=\sqrt{5-2\sqrt{10}+2}-\sqrt{5+2\sqrt{10}+2}`
`=\sqrt{(\sqrt{5}-\sqrt{2})^2}-\sqrt{(\sqrt{5}+\sqrt{2})^2}`
`=|\sqrt{5}-\sqrt{2}|-|\sqrt{5}+\sqrt{2}|`
`=\sqrt{5}-\sqrt{2}-(\sqrt{5}+\sqrt{2})`
`=\sqrt{5}-\sqrt{2}-\sqrt{5}-\sqrt{2}`
`=-2\sqrt{2}`
`c,\sqrt{4-2\sqrt{3}}+\sqrt{4+2\sqrt{3}}`
`=\sqrt{3-2\sqrt{3}+1}+\sqrt{3+2\sqrt{3}+1}`
`=\sqrt{(\sqrt{3}-\sqrt{1})^2}+\sqrt{(\sqrt{3}+\sqrt{1})^2}`
`=\sqrt{(\sqrt{3}-1)^2}+\sqrt{(\sqrt{3}+1)^2}`
`=|\sqrt{3}-1|+|\sqrt{3}+1|`
`=\sqrt{3}-1+\sqrt{3}+1`
`=2\sqrt{3}`
`d,\sqrt{24+8\sqrt{5}}+\sqrt{9-4\sqrt{5}}`
`=\sqrt{24+2\sqrt{80}}+\sqrt{9-2\sqrt{20}}`
`=\sqrt{20+2\sqrt{80}+4}+\sqrt{5-2\sqrt{20}+4}`
`=\sqrt{(\sqrt{20}+\sqrt{4})^2}+\sqrt{(\sqrt{5}-\sqrt{4})^2}`
`=\sqrt{(2\sqrt{5}+2)^2}+\sqrt{(\sqrt{5}-2)^2}`
`=|2\sqrt{5}+2|+|\sqrt{5}-2|`
`=2\sqrt{5}+2+\sqrt{5}-2`
`=3\sqrt{5}`
