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Edward Hughes Frequent poster
Post Number: 174
 Posted on Saturday, 22 October, 2011  02:48 pm:  
Could someone point out where my logic is wrong in the following? [inline]Q(\sqrt{2} + \sqrt{3})[/inline] has subextensions [inline]Q(\sqrt{3}), Q(\sqrt{2}), Q(\sqrt{6})[/inline] and minimal polynomial [inline]P(X) = X^4  10X^2 + 1[/inline]. It's easy to factorise P over the first two of the extensions above, but I should be able to over [inline]Q(\sqrt{6})[/inline] as well, right? Is there a trivial factorisation I'm missing? Or am I wrong in thinking that [inline]Q(\sqrt{6})[/inline] is a subextension? Many thanks in advance 
lebesgue Veteran poster
Post Number: 2429
 Posted on Saturday, 22 October, 2011  03:04 pm:  
(x^{2}52sqrt(6))(x^{2}5+2sqrt(6))? 
Edward Hughes Frequent poster
Post Number: 175
 Posted on Sunday, 23 October, 2011  01:56 am:  
I thought of that myself about 5 minutes after I posted the question  thanks! 
