`a)\sqrt{(3+\sqrt{3})^2}`
`=|3+\sqrt{3}|`
`=3+\sqrt{3}`
`b)\sqrt{(5-\sqrt{2})^2}`
`=|5-\sqrt{2}|`
`=5-\sqrt{2}`
`c)\sqrt{(5-\sqrt{38})^2}`
`=|5-\sqrt{38}|`
`=\sqrt{38}-5`
`d)\sqrt{(\sqrt{2}-1)^2}-\sqrt{(3-\sqrt{2})^2}`
`=|\sqrt{2}-1|-|3-\sqrt{2}|`
`=(\sqrt{2}-1)-(3-\sqrt{2})`
`=\sqrt{2}-1-3+\sqrt{2}`
`=2\sqrt{2}-4`