`B=(3-sqrt{5})sqrt{3+sqrt{5}}+(3+sqrt{5})sqrt{3-sqrt{5}}`
`sqrt{2}B=(3-sqrt{5}).sqrt{6+2sqrt{5}}+(3+sqrt{5})sqrt{6-2sqrt{5}}`
`sqrt{2}B=(3-sqrt{5}).sqrt{5+2sqrt{5}+1}+(3+sqrt{5})sqrt{5-2sqrt{5}+1}`
`sqrt{2}B=(3-sqrt{5}).sqrt{(sqrt{5}+1)^2}+(3+sqrt{5}).sqrt{(sqrt{5}-1)^2}`
`sqrt{2}B=(3-sqrt{5}).(sqrt{5}+1)+(3+sqrt{5})(sqrt{5}-1)`
`sqrt{2}B=3sqrt{5}+3-5-sqrt{5}+3sqrt{5}-3+5-sqrt{5}`
`sqrt{2}B=4sqrt{5}`
`B=2sqrt{10}`