Hi jrarick. It's not a proof. I'm okay with the first three lines. At Line3, we have an equation that says √(-1) equals √(-1). In other words, it says i=i.the logic seems to flow
The problem is that every (non-zero) complex number has two square roots; and there is no definition of a primary square root by which the property you assumed in the fourth line, that ba=ba, is true.I was wondering you opinions on this proof. I know it sounds weird, but the logic seems to flow. Thanks!
Pretty cool puzzle! But: once you apply non-integer powers you have to be careful about multiple values, which in the case of square roots is about signs. The third line should properly be written as 1−1=±−11I was wondering you opinions on this proof. I know it sounds weird, but the logic seems to flow. Thanks!
A rule to remember is:- you can only apply ba→ba if b>0I was wondering you opinions on this proof. I know it sounds weird, but the logic seems to flow. Thanks!