Since we cannot easily translate this to Maxima---and what do
you do if there is one real and one complex variable?--- I have
created a simplification ticket that will cause immediately

sage: sqrt(-4*x+4)
2*sqrt(-x + 1)

https://trac.sagemath.org/ticket/23368

Regards,

On Tuesday, July 4, 2017 at 8:15:21 AM UTC+2, Ralf Stephan wrote:
>
> That is not the right way to compare. Actually:
>
> (%i2) domain:complex;
> (%o2)                               complex
> (%i3) is(equal(sqrt(-4*x+4),sqrt(-x+1)*2));
> (%o3)                               unknown
>
> but indeed:
>
> sage: var('x', domain='real')
> x
> sage: bool(sqrt(-4*x+4)==sqrt(-x+1)*2)
> False
>
>
>

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