`B=(\frac{2}{3+\sqrt{5}}+\frac{1}{2+\sqrt{5}}).\sqrt{6+2\sqrt{5}}`
`=(\frac{2.3-2.\sqrt{5}}{3^2-\sqrt{5}^2}+\frac{\sqrt{5}-2}{\sqrt{5}^2-2^2}).\sqrt{5+2\sqrt{5}+1}`
`=(\frac{2(3-\sqrt{5})}{9-5}+\frac{\sqrt{5}-2}{5-4}).\sqrt{(\sqrt{5}+1)^2}`
`=(\frac{3-\sqrt{5}}{2}+\frac{2\sqrt{5}-4}{2})(\sqrt{5}+1)`
`=(\frac{-1+\sqrt{5}}{2})(\sqrt{5}+1)`
`=\frac{(\sqrt{5}-1)(\sqrt{5}+1)}{2}`
`=\frac{5-1}{2}`
`=4/2`
`=2`
