Mathematics 10 — Exercise Review · Q2 (ii)

Full question

What is the result of multiplying a complex number by its conjugate?

Step-by-step solution

1. (a+bi)(a−bi) = a² − b²i² = a²+b² = |z|², a nonnegative real number.

Answer

(a+bi)(a−bi) = a² − b²i² = a²+b² = |z|², a nonnegative real number.