SOLUTION: Is the square root of negative 1 greater than 1?

Question 1156604: Is the square root of negative 1 greater than 1?

Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

answer is

=> inequalities are not well-defined in the complex plane
(the field of complex numbers is not totally-ordered)
but, and
Answer by ikleyn(52824) (Show Source): You can put this solution on YOUR website!
.

Square root of -1 is a complex number.

In complex domain, there is no conception "lesser than" or "greater than".

It is NOT DEFINED in complex domain.

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