Branden Valentine

2022-02-01

If $z\in \mathbb{C}$ then what is $\sqrt{{z}^{2}}?$

liep3p

Beginner2022-02-02Added 4 answers

Step 1

I'm not sure why specifying

If

then

Any value (in

should be a square root of z

The two possible

and

Jordyn Horne

Beginner2022-02-03Added 16 answers

Step 1

I would take the principal square root of a complex number z, to be:

where

So for radicand

where

Given a choice, would prefer