[fowarded from Dima]

>
>x^(1/n) and x.nth_root(n) do not behave in the same way. All x.nth_root(n)
>gives an n-th  root in the same field to which x belongs while all x^(1/n)
>gives the primitive n-th root of unity, with the exception of AA(-1)^(1/n).

the function 1/n : AA->AA is 1-1 on all AA, and I don't see why this 
property should be broken.
Mathematically it makes perfect sense as is.

In fact, it should also work like this for any real field, not only AA.

Dima

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