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square roots in Q[r]

  • To: mathgroup at smc.vnet.net
  • Subject: [mg107764] square roots in Q[r]
  • From: Kent Holing <KHO at statoil.com>
  • Date: Thu, 25 Feb 2010 17:35:09 -0500 (EST)

Assume that we have f(x) an irreducible polynomial of degree n with rational coefficients and f(r) = 0 for r real. Given an element u in Q[r], is it an easy way, using mathematica, to check if u is a square in Q[r]?
Kent Holing


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