>>>> (And yet, the *definition* of an algebraic number is one expressible
>>>> by radicals...)
>>> You might try looking up the definition of an algebraic number.
>> Heh, like I haven't already done *that*...
> 
> To be explicit, that's *not* the definition of an algebraic number.

Really? I was sure an algebraic number is any number computable using 
only addition, subtraction, multiplication, division and extraction of 
roots.

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