Algebra 2 - How to divide complex numbers (-5-9i) / (9+8i)

The video tutorial explains how to divide complex numbers using conjugates. It begins by discussing the initial approach of multiplying by i over i and highlights the limitations when dealing with binomials. The teacher introduces the concept of conjugates and demonstrates how to multiply binomials in both the numerator and denominator. The tutorial concludes with simplifying the expression by combining like terms and using the property of i squared.

Why is it necessary to multiply both the numerator and denominator by the conjugate?

What is the result of combining like terms in the expression discussed?

Describe the final form of the expression after simplification.