On Wed, Feb 15, 2012 at 21:07, Stephen Montgomery-Smith
<step...@missouri.edu> wrote:
> I have a concern over I^(0.5).  It is plus or minus (1+I)/sqrt(2).  The
> difficulty I have is with the "plus or minus".  It is possible to define the
> positive square root of a real number so that sqrt(ab)=sqrt(a)*sqrt(b).  But
> you cannot define the "positive" square root of a complex number and still
> retain that identity.

Well, this is not really about defining principal roots of complex
numbers, it's about the symbolic expression "I" not conforming to
Sage's usual treatment of taking roots of complex numbers. CC((0,
1))^(0.5) has been "0.707106781186548 + 0.707106781186547*I" for a
long time, I imagine.

-Keshav

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