`#tnvt`
`A=(\frac{\sqrt{6}-\sqrt{3}}{\sqrt{2}-1}+\frac{5-\sqrt{5}}{\sqrt{5}-1}):\frac{2}{\sqrt{5}-\sqrt{3}}`
`=(\frac{\sqrt{3}(\sqrt{2}-1)}{\sqrt{2}-1}+\frac{\sqrt{5}(\sqrt{5}-1)}{\sqrt{5}-1}).\frac{\sqrt{5}-\sqrt{3}}{2}`
`=(\sqrt{3}+\sqrt{5}).\frac{\sqrt{5}-\sqrt{3}}{2}`
`=\frac{(\sqrt{3}+\sqrt{5})(\sqrt{5}-\sqrt{3})}{2}`
`=\frac{5-3}{2}`
`=1`
