1(1减根号3加根号5)/1,=?
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1/(1-√3+√5)
=1/[(1+√5)-√3]
=[(1+√5)+√3]/[(1+√5)-√3][(1+√5)+√3]
=[(1+√5)+√3]/[(1+√5)^2-(√3)^2]
=[(1+√5)+√3]/(1+2√5+5-3)
=[(1+√5)+√3]/(3+2√5)
=[1+√5+√3](3-2√5)/(3+2√5)(3-2√5)
=(3-2√5+3√5-10+3√3-2√15)/[3^2-(2√5)^2]
=(-7+√5+3√3-2√15)/(9-20)
=(7+2√15-√5-3√3)/11
=1/[(1+√5)-√3]
=[(1+√5)+√3]/[(1+√5)-√3][(1+√5)+√3]
=[(1+√5)+√3]/[(1+√5)^2-(√3)^2]
=[(1+√5)+√3]/(1+2√5+5-3)
=[(1+√5)+√3]/(3+2√5)
=[1+√5+√3](3-2√5)/(3+2√5)(3-2√5)
=(3-2√5+3√5-10+3√3-2√15)/[3^2-(2√5)^2]
=(-7+√5+3√3-2√15)/(9-20)
=(7+2√15-√5-3√3)/11
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