IMHO there ought to be possible to return "Unknown" as the result.
Indeed, in many cases such an exact computation is not feasible. 

On Saturday, January 7, 2017 at 9:54:36 PM UTC, vdelecroix wrote:
>
> Hello, 
>
> Some symbolic expressions claim that they are not real 
>
> sage: cos(pi/7).is_real() 
> False 
> sage: (exp(I*pi/7) + exp(-I*pi/7)).is_real() 
> False 
>
> But conversion to real floating points perfectly works 
>
> sage: RR(cos(pi/7)) 
> 0.900968867902419 
> sage: RR(exp(I*pi/7) + exp(-I*pi/7)) 
> 1.80193773580484 
>
> I guess we could (and should) make it consistent. See also the related 
> #16436. 
>
> Vincent 
>

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