Question

If i=square root of -1, where i be an imaginary number. Show that i=0 or i>0 or i<0?
Plz can you all solve for me?

Answer 1

i is a complex no., 0 is a real no.
We can't compare them directly

Answer 2

yeah.

Answer 3

If you take the modulus of i
\[|i|=\sqrt{1^2}=1\]
Then
\[|i|>1\]

Answer 4

oops
\[|i|>0\]

Answer 5

and so what for i<0?

Answer 6

\[i^2=-1\]
so
\[i^2<0\]

Answer 7

Thank you so much! ash2326

Answer 8

:)