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

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

The product of the given conjugate is 61