`\text{~~Holi~~}`
`A= \sqrt{2}(\sqrt{5}+1)\sqrt{3-\sqrt{5}}`
`= \sqrt{2(3-\sqrt{5})}(\sqrt{5}+1)`
`= \sqrt{2(3-\sqrt{5}).5}+\sqrt{2(3-\sqrt{5})}`
`= \sqrt{30-10\sqrt{5}}+\sqrt{6-2\sqrt{5}}`
`= \sqrt{(5-\sqrt{5})^2}+\sqrt{(1-\sqrt{5})^2}`
`= 5-\sqrt{5}+\sqrt{5}-1`
`= 4`