Question: Simplification of polynomials on radicals.

Hi! I need to simplify a polynomial over an arbitrary field F on a radical variable ν, such that for some power j, ν is in F.

the polynomial takes the form:


but, since νj is in F, this divides every element νi/j into a cotient group of order j, so this can be rewritten as a radical extension of F, in the form: 


where ki, ai are in F. I feel like this is a very straightforward technique for handwritten algebra, but i can't see a command for this on Maple 18. Nor the simplify(..., radicals) Or the combine(...,radicals) seems to help here. Maybe there's an special command for this? Must i do it myself? Please, any help is aprecciated.

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