Z1 = 3 + 2i and z2 = - 5 - 3i

What are the conjugates of z1 and z2?

What is the conjugate of the product of z1 and z2?

See below in bold.

Step-by-step explanation:

z1: 3 + 2i

The conjugate is 3 - 2i.

z2: - 5 - 3i The conjugate is - 5 + 3i.

The product z1 * z2 = (3 + 2i) (-5 - 3i)

= - 15 - 9i - 10i - 6i^2

= - 15 - 19i - 6*-1

= - 15 - 19i + 6

= - 9 - 19 i.

So it's conjugate is - 9 + 19 i.