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

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I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain.

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...

ab1.png

The result is not just...

ab2.png

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


Complex Numbers


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