I have been reading the post:
Simple Complex Number Problem: $1 = -1$
and other similar posts based on the manipulation of complex numbers.
If I want to simplify $\sqrt{(-1) \times (-1)}$, I would, using phasor algebra, do
$\sqrt{(-1) \times (-1)} = \sqrt{-1} \times \sqrt{-1} = 1 \angle 90 \times 1 \angle 90 = 1 \angle 180 = -1$
I believe the above way is neater and that I have the right answer.
Please do let me know what you think.
PS: What I'm doing is to avoid simplifying when under the square-root sign.
Thanks a lot...