We will see that the product of the complex conjugates is equal to 41.
Finding the product of complex numbers.
Here we want to find the product of a complex number and its conjugate:
(4 + 5i)*(4 - 5i)
Here you need to remember that:
i*i = i^2 = -1
Now if we take the product we will get:
(4 + 5i)*(4 - 5i) = 4*4 + 4*(-5i) + (5i)*4 + (5i)*(-5i)
= 16 - 20i + 20i + (-25)*(i^2)
= 16 + 25 = 41
So the product of the complex conjugates is 41.
If you want to learn more about complex numbers, you can read:
https://brainly.com/question/10662770
