Write the complex conjugate of the complex number 3 7i Mult

Write the complex conjugate of the complex number. 3 - 7i Multiply the number by its complex conjugate. (Simplify your answer completely.)

Solution

Given complex number = 3 - 7i

The complex conjugate of the complex number = 3 + 7i

Now,

According to the question :

multiply by its conjugate, we get:

= (3 - 7i )*( 3 + 7i )

= 9 - 49 i²

= 9 - 49 ( -1 )    { since i² = -1 }

= 9 + 49

= 58