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## Homework Statement

If W is represented as the point shown in blue which of the other points satisfy z=Sqrt[w]?

## Homework Equations

## The Attempt at a Solution

(The answer is Z2)[/B]I'm trying to study for a test and this is a practice problem and the book doesn't go into great detail about this sort of problem graphically but I think I have it figured out, just maybe not the best way of going about it.

Because the power is 1/2 I imagine that means there are 2 Square roots of the complex number. Each varying by 2*pi

I'm assuming W looks like its at 5pi/6 = 150 degrees just for reference.

150/2=75 degrees

(150+360)/2=255 degrees

I move 75 degrees from the x-axis and there is no line there so I go to my next option.

Then I move 255 degrees off the x-axis and think maybe I hit where Z2 is located. Is my logic correct?

Is there a more proper way of going about this? Or faster?

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