Which one is correct ... 1+1=2 or 1+1=0 ?

Actually, both of them are correct. But can you prove that 1+1=2? and 1+1=0?

Actually 1+1=0 is easier to prove. Let us assume that i=sqrt(-1) and sqrt(ab) = sqrt(a) x sqrt(b).

1 + 1
= 1 + sqrt(1)
= 1 + sqrt(-1 x -1)
= 1 + sqrt(-1) x sqrt(-1)
= 1 + ( i x i )
= 1 + (-1)
= 0

Now, we've proved that 1+1=0. So why is it 1+1 =2? or we just accept it as it is because when we're young we trust our primary school teacher that one plus one become two. But why? We actually don't know the answer. We just believe it that 1+1=2.

Haha... you can find the proof in this book , Principia Mathematica by Alfred North Whitehead and Bertrand Russell whose spent years of their lives trying to figure out how to come up with a way of being able to do math without involving bad actors. 378 pages later, they'd managed to prove that 1+1=2. Almost.