I need helpWith this1/5+i

Question

find the product of the given complex and it’s conjugate 1/5+i

Answer 1

The conjugate of this would be 1/5-i To multiply these you get:

(1/5-i)(1/5+i) You multiply these by FOIL

F = (1/5)(1/5) = 1/25

O = (1/5)(i) = 1/5i

I = (1/5)(-i) = -1/5i

L = (-i)(i) = -i²

Adding them together:

1/25+1/5i -1/5i -i² Simplify

1/25-(-1)

1/25+1

1/25+25/25 = 26/25