# Complex Number Formula

**Complex number Formula**

A complex number is one of the form of a + ib, where a and b are real number and . A is called real part of the complex number and b is called imaginary part of the complex number.

1.**De moivreâ€™s Theorem**

De Moivre’s Theorem is a relatively simple formula for calculating powers of complex numbers.

If “Z” is a complex number and:

as expressed in Polar form of complex numbers.

where,

Then De Moivre’s Theorem states that:

The complex Number “Z” raised to an integer power “n” is given by:

Where ,

2.**Square root of complex number**

and

For .

3.**Cube root of unity**.

Let For the requrd cube root of unity are

or = omega)

**Note**:

i.

ii.

iii. for any integer n.

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