Interesting problem

Let be:
(x+2)*(x+1)=1 $ \forall x\in M $
(xy)*z=x(y*z) $ \forall x,y,z\in M $
where (M,*) is a structure with M=[0,$ \infty $)

Prove that:$ (\sqrt{3}+1) $*$ (\sqrt{3}-1) $ $ \in Q	 $

Back to top