If #z in CC# then what is #sqrt(z^2)#?
3 Answers
Unless I'm missing something:
#sqrt(z^2) = z " (primary root) " or +-z " (primary and secpndary roots)"#
Explanation:
I'm not sure why specifying
If
then
Any value (in
should be a square root of
The two possible
and
I am not well versed in complex analysis.
Explanation:
I would take the principal square root of a complex number
where
So for radicand
where
Given a choice, I think I would prefer
If
Explanation:
If
Roughly speaking:
If
If
If
Which definition of