1. Complex Numbers 1 2 3 Properties & Powers of i
Operations with Complex Numbers 3
Practice Problems

2. Properties of i

3. Powers of i

4. Addition and Multiplication of Complex Numbers
Treat as you would a variable
Remember the powers of i

5. Addition of Complex Numbers Example

6. Multiplication of Complex Numbers Example

7. More Examples of Operations with Complex Numbers

8. Even More Examples of Operations with Complex Numbers

9. And Even More Examples of Operations with Complex Numbers

10. Quotients of Complex Numbers
Solve as you would with a radical in the denominator
Multiply by a quotient which simplifies to 1 and whose denominator when multiplied by the denominator of the original problem creates a real number
In the case of a polynomial, multiply the conjugate (i.e )
NEVER leave a complex number in the denominator

11. Quotients of Complex Numbers Example

12. Quotients of Complex Numbers Example

13. Roots of Negative Numbers

14. Quadratic Equation with Complex Solutions

15. Equation with Complex Solutions

16. Practice Problems
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Problems 1-34