Jacob wrote:

> It does seem strange that the answer that looked like it should be real is
> actually not.  If you have sage evaluate the first value in the returned
> answers you see that despite its appearance it is the pure real number that
> you desire.
>
> b[0].right().n()
>
> you get
> -1.44224957030741
>
> So make sure that your students see that sage *did* return the desired
> value. But also remind them to be careful because all other things being
> equal technology tends to answer your questions in the way that makes the
> most sense to its programmer, which does not necessarily make the most sense
> to a student (or anyone else).

Thank you for clearing this up for me :-)  It never occurred to me to
evaluate the other two values because of the way they were expressed.
I just learned something new and now I think I will add this
information to the newbies book.

Ted

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