Đáp án:
`a)` `\sqrt{2}-1`
`b)` `\sqrt{3}-1`
`e)` `2+\sqrt{2}`
`f)` `3-\sqrt{2}`
Giải thích các bước giải:
`a)` `\sqrt{3-2\sqrt{2}}`
`=\sqrt{(\sqrt{2})^2-2.\sqrt{2}.1+1^2}`
`=\sqrt{(\sqrt{2}-1)^2}`
`=|\sqrt{2}-1|`
`=\sqrt{2}-1`
$\\$
`b)` `\sqrt{4-2\sqrt{3}}`
`=\sqrt{(\sqrt{3})^2-2.\sqrt{3}.1+1^2}`
`=\sqrt{(\sqrt{3}-1)^2}`
`=|\sqrt{3}-1|`
`=\sqrt{3}-1`
$\\$
`e)` `\sqrt{6+4\sqrt{2}}`
`=\sqrt{2^2+2.2.\sqrt{2}+(\sqrt{2})^2}`
`=\sqrt{(2+\sqrt{2})^2}`
`=|2+\sqrt{2}|`
`=2+\sqrt{2}`
$\\$
`f)` `\sqrt{11-6\sqrt{2}}`
`=\sqrt{3^2-2.3.\sqrt{2}+(\sqrt{2})^2}`
`=\sqrt{(3-\sqrt{2})^2}`
`=|3-\sqrt{2}|`
`=3-\sqrt{2}`
