# 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