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Topic: algebraic numbers
Replies: 17   Last Post: Jan 8, 2010 4:16 AM

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André Hautot

Posts: 18
Registered: 12/8/04
algebraic numbers
Posted: Dec 29, 2009 1:24 AM
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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





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