Complex numbers are numbers in the form
where i represents the imaginary number defined as the square root of minus one.
We call a as the real part of the complex number and b the imaginary part.
We want to rewrite the number
in terms of the imaginary constant.
Using the following property
We can rewrite the second term of our sum as
Then, our number can be rewritten as
Using the definition of the imaginary unit we can rewrite our number as
Then, we can rewrite the square roots as
The simplified version of our number is
