On Monday, June 30, 2014 1:52:50 AM UTC-4, John Cremona wrote:
>
> Be careful though: 
>
> sage: (sqrt(-2)*sqrt(-3)).simplify_radical() 
> -sqrt(3)*sqrt(2) 
>
> i.e. you cannot use sqrt(a)*sqrt(b)=sqrt(a*b) everywhere without 
> reaching a contradiction. 
>
> sage: bool( (sqrt(-2)*sqrt(-3)) == sqrt(2)*sqrt(3) ) 
> False 
>
>
+1 

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