`\qquad \sqrt{(\sqrt{3}+\sqrt{2})^2}+\sqrt{(\sqrt{2}-\sqrt{3})^2}`
`=|\sqrt{3}+\sqrt{2}|+|\sqrt{2}-\sqrt{3}|`
`=\sqrt{3}+\sqrt{2}+\sqrt{3}-\sqrt{2}`
`=2\sqrt{3}`
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`\qquad (\sqrt{3-sqrt{5}}(3+\sqrt{5}))/(\sqrt{10}+\sqrt{2})`
`=(\sqrt{6-2\sqrt{5}}(3+\sqrt{5}))/(\sqrt{2}(\sqrt{10}+\sqrt{2}))`
`=(\sqrt{(\sqrt{5}-1)^2}(3+\sqrt{5}))/(2\sqrt{5}+2)`
`=((\sqrt{5}-1)(3+\sqrt{5}))/(2\sqrt{5}+2)`
`=(3\sqrt{5}+5-3-\sqrt{5})/(2\sqrt{5}+2)`
`=(2\sqrt{5}+2)/(2\sqrt{5}+2)`
`=1`