Finding roots of sextic in radicals



andre maute wrote:
> On Friday 25 January 2008, you wrote:
>   
>> Have you tried solve? This polynomial is the functional composition of
>> lower-degree polys so should easily be handled by solve. No need for
>> numerical solutions and identify. Take a look at the doc for
>> polydecomp if you're interested.
>>     
>
> solve gives long lists of roots involving %i
> it's known that the roots of the legendre polynomials are real,
> so what i want to see is no %i.
>
>   
This seems to work for me:

ratsimp(rectform(solve(legendre_p(6,x),x)));

The answer appears to be free of %i, although really quite messy.

Ray