Quaternions are Non-Mathematical

[talanum1]

We have the equation: i^2=j^2=k^2=ijk=-1. Now solve the first three equations and substitute the result into the fourth. We get:

ijk = (+/-sqrt(-1))(+/-sqrt(-1))(+/-sqrt(-1)) = +/-sqrt(-1) not = -1.

Now the story is that you cannot make this substitution which is contrary to Mathematical rules.