I now show you how we can use complex conjugates to do division of two complex numbers.

Simplify the following:

  1. \dfrac{{5 + 2i}}{{3 - 4i}}
  2. \dfrac{{3 - 5i}}{{2i}}
  3. \text{If } z_1 = 6 - 3i \text{ and } z_2 = - 5 - 3i \\ \\\text{Express }\dfrac{z_1}{z_2} \text{ in the form } a + bi \text{ stating the values of } a \text{ and } b.
Complex Numbers - Division : ExamSolutions Maths Revision - youtube Video

Express in the form a + ib

  1. \dfrac{3+6i}{4-2i} - \dfrac{1-i}{2+i}
Complex Numbers - Division Example : ExamSolutions Maths Revision - youtube Video