Question

Find the product of the given complex number and its conjugate. 6+5i

Answer 1

Given complex number = 6+5i
Conjugate = 6-5i

Multiplying the two complex numbers gives
(6+5i)*(6-5i) = 6*(6-5i) + 5i*(6-5i)
(6+5i)*(6-5i) = 6*(6)+6*(-5i) + 5i*(6)+5i*(-5i)
(6+5i)*(6-5i) = 36 - 30i + 30i - 25i^2
(6+5i)*(6-5i) = 36 - 25i^2
(6+5i)*(6-5i) = 36 - 25(-1)
(6+5i)*(6-5i) = 36 + 25
(6+5i)*(6-5i) = 61

Answer: 61

Answer 2

The product of the given conjugate is 61