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

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


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

answer is no



sqrt%28-1%29%3E1 => inequalities are not well-defined in the complex plane
(the field of complex numbers is not totally-ordered)
but, abs%28sqrt%28-1%29%29=1 and sqrt%28-1%29=i

Answer by ikleyn(52814) About Me  (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.