On Monday, January 19, 2015 at 9:27:44 PM UTC-8, Ondřej Čertík wrote: > > > and your approach returns a wrong number of terms, so something is > wrong. But it is quite fast. > The term count doesn't tell you that. The representation of sqrt3 and sqrt5 doesn't consist of single term expressions: sage: fsqrt3 -1/4*a^3 + 7/2*a sage: fsqrt5 -1/4*a^3 + 9/2*a
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