`a)\sqrt{(3-\sqrt{7})^2}`
`=|3-\sqrt{7}|`
`=3-\sqrt{7}`
`b)\sqrt{(4+\sqrt{2})^2}`
`=4+\sqrt{2}`
`c)\sqrt{(3-\sqrt{3})^2}`
`=|3-\sqrt{3}|`
`=3-\sqrt{3}`
`d)\sqrt{(4-\sqrt{17})^2}`
`=|4-\sqrt{17}|`
`=\sqrt{17}-4`
`e)2\sqrt{3}+\sqrt{(2-\sqrt{3})^2}`
`=2\sqrt{3}+|2-\sqrt{3}|`
`=2\sqrt{3}+2-\sqrt{3}`
`=\sqrt{3}+2`