On May 16, 2008, at 8:57 AM, Nick Alexander wrote:

>
>> (specifically, sqrt(2) would
>> be an element of QQ[sqrt(2)] with a specified embedding into RR, so
>> stuff like RR(1) + sqrt(2) would work).
>
> Similar to why matrices are over ZZ rather than QQ: why is sqrt(2) in
> QQ[sqrt(2)] and not in ZZ[sqrt(2)]?

Good point. 

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