#8659: another broken square root simplification
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   Reporter:  burcin     |          Owner:  burcin       
       Type:  defect     |         Status:  needs_info   
   Priority:  critical   |      Milestone:  sage-4.7     
  Component:  symbolics  |       Keywords:               
Work_issues:             |       Upstream:  N/A          
   Reviewer:             |         Author:  Burcin Erocal
     Merged:             |   Dependencies:               
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Changes (by kcrisman):

  * status:  needs_review => needs_info


Comment:

 At first I thought I minded this discrepancy, but I think that maybe
 that's okay, given they really do live in different places.  At the same
 time, in theory then we should be holding anything that might ever be
 multivalued.  Like a square root.
 {{{
 sage: 8^(1/2)
 2*sqrt(2)
 sage: I.pyobject().parent()
 Number Field in I with defining polynomial x^2 + 1
 sage: I.pyobject().parent()(8)^(1/2)
 sqrt(8)
 }}}
 In particular, what do we want here?
 {{{
 sage: a= matrix([[2,2,I],[2,2,-I],[I,-I,0]]).determinant();
 sage: b = a.pyobject()
 sage: b^(-1/2); a^(-1/2)
 1/sqrt(8)
 1/8*sqrt(8)
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8659#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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