
algebraic numbers
Posted:
Dec 29, 2009 1:24 AM


x= Sqrt[2] + Sqrt[3] + Sqrt[5] is an algebraic number
MinimalPolynomial[Sqrt[2] + Sqrt[3] + Sqrt[5], x]
returns the polynomial : 576  960 x^2 + 352 x^4  40 x^6 + x^8 as expected
Now suppose we only know the N first figures of x (N large enough), say : N[x,50] = 5.3823323474417620387383087344468466809530954887989
is it possible to recognize x as a probably algebraic number and to deduce its minimal polynomial ?
Thanks for a hint, ahautot

