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Powers and Roots of Complex Number? At grade

Applying De Moivre’s Theorem to solve for powers and roots of complex numbers.

It is an educational content of CK-12 Foundation (to access some of the CK-12 contents you must be logged in).

Euler Formula

"One formula that is used frequently to rewrite a complex number is the Euler Formula. The Euler Formula can be used to convert a complex number from exponential form to rectangular form and back. The ...

DeMoivre's Theorem

"We know how to multiply complex numbers, but raising complex numbers to a high integer power would involve a lot of computation. Fortunately we have DeMoivre's Theorem, which gives us a more simple s ...

Complex Roots

"We can use a simple four-step guide to help us find complex roots, or the nth roots of complex numbers. These guidelines simplify for us the process of using DeMoivre's Theorem to find complex roots. ...

Complex Number Roots

"We can use DeMoivre's Theorem to calculate complex number roots. In many cases, these methods for calculating complex number roots can be useful, but for higher powers we should know the general four ...

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