[DTube] Finding the n-th Roots of a Complex Number using DeMoivre's Theorem

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In this video, we look at applying De Moivre's Theorem to find the n-th roots of a complex number. Finding the roots of a complex number z, is a very similar process to finding powers of z, however, there is one twist - there are multiple solutions. I demonstrate how to go about finding those solutions.

When we take the root of a complex number...

The result is not just...

As a demonstration, we find the square roots of z = 2*cis(-pi/6).

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Complex Numbers

• Finding Powers of Complex Numbers using DeMoivre's Theorem
• Finding the n-th Roots of a Complex Number using DeMoivre's Theorem

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