Roots of a complex

Use the Euler formula and the De Moivre theorem to evaluate powers of complex numbers, to determine / th roots of a complex number, and to identify real and imaginary parts of functions of a complex variable... 

It follows that one square root of a complex number (where = ) is given by ... 

Some of the functions that are useful in practical applications are not uniquely defined. Examples of such functions are nth roots of a complex variable for n > 1. For a specific example, consider the case when n = 2 ... 

The square root of a complex number is a number that will yield the first number when multiplied by itself. Just as with real numbers, there are two square roots of a complex number. If z = re, one of the square roots is given by... 

There are three cube roots of a complex number. These can be found by looking for the numbers that when cubed yield and. These... 

When the dielectric function itself is complex, we must take the square root of a complex number or n = Ve where the tildes represent complex quantities. We can write... 

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