#14305: bug in simplify_radical
----------------------------+-----------------------------------------------
       Reporter:  zimmerma  |         Owner:  burcin  
           Type:  defect    |        Status:  new     
       Priority:  critical  |     Milestone:  sage-5.9
      Component:  calculus  |    Resolution:          
       Keywords:            |   Work issues:          
Report Upstream:  N/A       |     Reviewers:          
        Authors:            |     Merged in:          
   Dependencies:            |      Stopgaps:          
----------------------------+-----------------------------------------------

Old description:

> in Sage 5.7 we get:
> {{{
> sage: (x^2).simplify_radical()
> x^2
> }}}
> This is wrong (consider x=-1 for example). Even:
> {{{
> sage: assume(x<0)
> sage: sqrt(x^2).simplify_radical()
> x
> }}}
>
> Note: this invalidates a whole part of our book (in french) about Sage at
> http://sagebook.gforge.inria.fr/

New description:

 in Sage 5.7 we get:
 {{{
 sage: sqrt(x^2).simplify_radical()
 x
 }}}
 This is wrong (consider x=-1 for example). Even:
 {{{
 sage: assume(x<0)
 sage: sqrt(x^2).simplify_radical()
 x
 }}}
 Previously it was
 {{{
 sage: sqrt(x^2).simplify_radical()
 abs(x)
 }}}

 Note: this invalidates a whole part of our book (in french) about Sage at
 http://sagebook.gforge.inria.fr/

--

Comment (by kcrisman):

 Regarding these three tickets (#14305, #14306, #14307) perhaps it would be
 good to get that book in the standard documentation under fr/ so that it
 can be part of doctests?  Just a brainstorm, perhaps it is not a good idea
 for various reasons.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14305#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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