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

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The discussion revolves around finding the square roots of the expression 4*sqrt(3) + 4(i). The original poster expresses confusion over the question, indicating a lack of familiarity with the material, possibly due to differences in teaching styles. A participant suggests using Euler's formula and de Moivre's theorem to solve the problem, but the original poster admits to not understanding these concepts. The conversation highlights a gap in knowledge regarding complex numbers and their properties. Understanding these mathematical principles is essential for solving the given problem effectively.
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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)
 
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Elissa89 said:
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?
 
MarkFL said:
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.

- - - Updated - - -

Elissa89 said:
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?
 
Elissa89 said:
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?
 

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