MHB Find the square roots of 4*sqrt(3)+4(i)

[Elissa89]

So I have a study guide for my final which was written by a different professor from my actual professor. So I don't understand the question, I don't know if it's because my professor did not teach this or if the wording is different from what I'm used to:

Find the square roots of 4*sqrt(3)+4(i)

 

[MarkFL]

So I have a study guide for my final which was written by a different professor from my actual professor. So I don't understand the question, I don't know if it's because my professor did not teach this or if the wording is different from what I'm used to:

Find the square roots of 4*sqrt(3)+4(i)

I would let:

$$y=8\left(\frac{\sqrt{3}}{2}+\frac{1}{2}i\right)=8e^{\Large\frac{\pi}{6}i}$$

Can you proceed?

 

[Elissa89]

I would let:

$$y=8\left(\frac{\sqrt{3}}{2}+\frac{1}{2}i\right)=8e^{\Large\frac{\pi}{6}i}$$

Can you proceed?

No, i don't know what the right side means.

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No, i don't know what the right side means.

Actually I don' know what any of that means. Where did the 8 come from?

 

[MarkFL]

No, i don't know what the right side means.

- - - Updated - - -Actually I don' know what any of that means. Where did the 8 come from?

You haven't studied Euler's formula? How about de Moivre's theorem?