CCGPS AG 4.3.4 Example 2

Find the result of [math](10 + 6i) ÷ (2 – i)[/math].

[list=1] [*]Rewrite the expression as a fraction. [*]Find the complex conjugate of the denominator. [*]Rationalize the fraction by multiplying both the numerator and denominator by the complex conjugate of the denominator. [*]If possible, simplify the fraction. The answer can be left as a fraction, or simplified by dividing both terms in the numerator by the quantity in the denominator. [/list]