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`a)A=\sqrt{3-\sqrt{5}}+\sqrt{3+\sqrt{5}}`
`\sqrt{2}A=\sqrt{2*3-2*\sqrt{5}}+\sqrt{2*3+2*\sqrt{5}}`
`\sqrt{2}A=\sqrt{6-2\sqrt{5}}+\sqrt{6+2\sqrt{5}}`
`\sqrt{2}A=\sqrt{(\sqrt{5})^2-2\sqrt{5}*1+1^2}+\sqrt{(\sqrt{5})^2+2\sqrt{5}*1+1^2}`
`\sqrt{2}A=\sqrt{(\sqrt{5}-1)^2}+\sqrt{(\sqrt{5}+1)^2}
`\sqrt{2}A=|\sqrt{5}-1|+|\sqrt{5}+1|`
`\sqrt{2}A=\sqrt{5}-1+\sqrt{5}+1`
`\sqrt{2}A=2\sqrt{5}`
`A=(2\sqrt{5})/\sqrt{2}=\sqrt{2}*\sqrt{5}=\sqrt{10}`
`b)A=\sqrt{2+\sqrt{3}}-\sqrt{2-\sqrt{3}}`
`\sqrt{2}A=\sqrt{2*2+2*\sqrt{3}}-\sqrt{2*2-2*\sqrt{3}}`
`\sqrt{2}A=\sqrt{4+2\sqrt{3}}-\sqrt{4-2\sqrt{3}}`
`\sqrt{2}A=\sqrt{(\sqrt{3})^2+2\sqrt{3}*1+1^2}-\sqrt{(\sqrt{3})^2-2\sqrt{3}*1+1^2}`
`\sqrt{2}A=\sqrt{(\sqrt{3}+1)^2}-\sqrt{(\sqrt{3}-1)^2}`
`\sqrt{2}A=\sqrt{3}+1-(\sqrt{3}-1)`
`\sqrt{2}A=\sqrt{3}+1-\sqrt{3}+1`
`\sqrt{2}A=2`
`A=\sqrt{2}`
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`A=\sqrt{3-\sqrt{5}}+\sqrt{3+\sqrt{5}}`
`A=(\sqrt{2}(\sqrt{3-\sqrt{5}}+\sqrt{3+\sqrt{5}}))/(\sqrt{2})`
`A=(\sqrt{2(3-\sqrt{5})}+\sqrt{2(3+\sqrt{5})})/(\sqrt{2})`
`A=(\sqrt{6-2\sqrt{5}}+\sqrt{6+2\sqrt{5}})/(\sqrt{2})`
`A=(\sqrt{5-2\sqrt{5}+1}+\sqrt{5+2\sqrt{5}+1})/(\sqrt{2})`
`A=(\sqrt{(\sqrt{5}-1)^2}+\sqrt{(\sqrt{5}+1)^2})/(\sqrt{2})`
`A=(|\sqrt{5}-1|+|\sqrt{5}+1|)/(\sqrt{2})`
`A=(\sqrt{5}-1+\sqrt{5}+1)/(\sqrt{2})`
`A=(2\sqrt{5})/(\sqrt{2})`
`A=\sqrt{2}·\sqrt{5}`
`A=\sqrt{10}`
`2)`
`A=\sqrt{2+\sqrt{3}}-\sqrt{2-\sqrt{3}}`
`A=(\sqrt{2}(\sqrt{2+\sqrt{3}}-\sqrt{2-\sqrt{3}}))/(\sqrt{2})`
`A=(\sqrt{2(2+\sqrt{3})}-\sqrt{2(2-\sqrt{3})})/(\sqrt{2})`
`A=(\sqrt{4+2\sqrt{3}}-\sqrt{4-2\sqrt{3}})/(\sqrt{2})`
`A=(\sqrt{3+2\sqrt{3}+1}-\sqrt{3-2\sqrt{3}+1})/(\sqrt{2})`
`A=(\sqrt{(\sqrt{3}+1)^2}-\sqrt{(\sqrt{3}-1)^2})/(\sqrt{2})`
`A=(|\sqrt{3}+1|-|\sqrt{3}-1|)/(\sqrt{2})`
`A=(\sqrt{3}+1-\sqrt{3}+1)/(\sqrt{2})`
`A=2/(\sqrt{2})`
`A=\sqrt{2}`
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