Complex Numbers: Dividing Complex Numbers Quiz
Quiz Overview
Description
Complex numbers contain a real number and an imaginary number and are written in the form a+bi. Remember that i^2 = -1. Below is a worked example of how to divide complex numbers.
Solve.
(6+3i) / (7+5i)
Step 1. Multiply both terms by the denominator but change the sign.
(6+3i)(7-5i) / (7+5i)(7-5i)
Step 2. Use the FOIL method to expand the numerator and denominator.
42+30i+21i+15(i^2) / 49-25(i^2)
Step 3. Group like terms. Remember i^2 = -1
42+15(-1)+51i / 49-25(-1)
Step 4. Simply.
42-15+51i / 49+25
27+51i / 74
Step 5. Write in standard form.
27/74 + 51/74i
Good luck!!!
Solve.
(6+3i) / (7+5i)
Step 1. Multiply both terms by the denominator but change the sign.
(6+3i)(7-5i) / (7+5i)(7-5i)
Step 2. Use the FOIL method to expand the numerator and denominator.
42+30i+21i+15(i^2) / 49-25(i^2)
Step 3. Group like terms. Remember i^2 = -1
42+15(-1)+51i / 49-25(-1)
Step 4. Simply.
42-15+51i / 49+25
27+51i / 74
Step 5. Write in standard form.
27/74 + 51/74i
Good luck!!!