#4425: [with patch, positive review] sqrt(4) returns a SymbolicComposition 
instead
of the number 2!
------------------------------+---------------------------------------------
 Reporter:  was               |        Owner:  kcrisman
     Type:  defect            |       Status:  new     
 Priority:  major             |    Milestone:  sage-3.2
Component:  basic arithmetic  |   Resolution:          
 Keywords:                    |  
------------------------------+---------------------------------------------
Comment (by kcrisman):

 Replying to [comment:5 was]:
 > I attached a trivial followup patch to sqrt-nonsymbolic-1.patch which
 adds a docstring for the _do_sqrt function (which had no docstring) and
 some doctests to that function.  The new docstring also clarifies that the
 extend option to _do_sqrt is completely ignored, and why that is the right
 behavior.

 This seems okay; I didn't have time to merge it but the new tests behave
 correctly.  So this means that the following is the desired behavior for
 when to extend and when not to extend?
 {{{
 sage: sqrt._do_sqrt(Integer(3),extend=False)
 sqrt(3)
 sage: a=3; type(a)
 <type 'sage.rings.integer.Integer'>
 sage: a.sqrt(extend=False)
 ---------------------------------------------------------------------------
 ValueError: square root of 3 not an integer
 }}}
 If so, then let's finally let the square root of 4 be 2!

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4425#comment:6>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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