# How do you find the product of 7i + 4 and its conjugate?

##### 1 Answer

It turns out that the product of a complex number and its conjugate is the square of its modulus:

Let a random complex number be given by

Therefore it's conjugate is

(This is why I've written it as

Their product:

Since by definition

(The modulus of a complex number is given by

Therefore, we could go through and multiply our particular complex number