`1)\sqrt{(\sqrt{3}-2)^2}+\sqrt{12}-\sqrt{(-3)^2]`
`=|\sqrt{3}-2|+2\sqrt{3}-|-3|`
`=2-\sqrt{3}+2\sqrt{3}-3`
`=\sqrt{3}-1`
`2)\sqrt{4-2\sqrt{3}}+\sqrt{4+2\sqrt{3}}`
`=\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}`
`3)\sqrt{5-2\sqrt{6}}-\sqrt{(\sqrt{2}-5\sqrt{3})^2}`
`=\sqrt{(\sqrt{3}-\sqrt{2})^2}-|\sqrt{2}-5\sqrt{3}|`
`=|\sqrt{3}-\sqrt{2}|-5\sqrt{3}+\sqrt{2}`
`=\sqrt{3}-\sqrt{2}-5\sqrt{3}`
`=-4\sqrt{3}`
`4)\sqrt{(2-\sqrt{5})^2}+\sqrt{(3-\sqrt{5})^2}`
`=|2-\sqrt{5}|+|3-\sqrt{5}|`
`=\sqrt{5}-2+3-\sqrt{5}`
`=1`
`5)N=\sqrt{(\sqrt{3}-1)^2}+\sqrt{(\sqrt{3}-2)^2}`
`=|\sqrt{3}-1|+|\sqrt{3}-2|`
`=\sqrt{3}-1+2-\sqrt{3}`
`=1`
`6)C=\sqrt{8-2\sqrt{15}}-\sqrt{5}`
`=\sqrt{(\sqrt{5}-\sqrt{3})^2}-\sqrt{5}`
`=|\sqrt{5}-\sqrt{3}|-\sqrt{5}`
`=\sqrt{5}-\sqrt{3}-\sqrt{5}`
`=-\sqrt{3}`
`7)\sqrt{3+\sqrt{5}}-\sqrt{3-\sqrt{5}}`
`=\frac{\sqrt{6+2\sqrt{5}}-\sqrt{6-2\sqrt{5}}}{\sqrt{2}}`
`=\frac{\sqrt{(\sqrt{5}+1)^2}-\sqrt{(\sqrt{5}-1)^2}}{\sqrt{2}}`
`=\frac{|\sqrt{5}+1|-|\sqrt{5}-1|}{\sqrt{2}}`
`=\frac{\sqrt{5}+1-\sqrt{5}+1}{\sqrt{2}}`
`=\frac{2}{\sqrt{2}}=\sqrt{2}`
`B=\sqrt{(2+\sqrt{3})^2}-\sqrt{3}`
`=|2+\sqrt{3}|-\sqrt{3}`
`=2+\sqrt{3}-\sqrt{3}`
`=2`
