When searching sage-support, there are several threads about people
complaining they cannot plot x^(1/3) or similar on the negative axis
because (-1)^(1/3) is a complex number, not a real number.

The answer is to plot something like lambda x:RR(x).nth_root(3).  This
is not very satisfactory because this is not a symbolic function, so I
can't differentiate it for example.  It is also more complicated and
hard to explain to beginners using Sage.

So I think the question still remains: is there something like a
symbolic nth_root() function?  Or, alternatively, a way of evaluating
the symbolic expression x^(1/3) yielding only real numbers with real
input?  Such functionality would certainly be desirable.

Jeroen.

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