1. Exam Study Radical Expressions and Complex Numbers

2. Closure of Sets Under the Four Basic Operations Real Numbers are closed under all operations. Irrational Numbers are not closed under the four basic operations. Rational Numbers are closed under the four basic operations. Integers are closed on all except division.

3. Radicals and Rational Exponents

5. Simplifying Radicals and Rational Exponents Examples:

6. Adding and Subtracting Radicals 1. Simplify all Radicals 2.Identify radicals with the SAME INDEX and SAME RADICAND. (only these can be combined) 3.For common radicals. Add/subtract the coefficients and KEEP THE COMMON RADICAL

7. Example:

8. Example

9. Multiplying Radicals

10. Example

12. Steps to Divide Radicals

13. Example:

16. I Pure Imaginary Numbers Imaginary Numbers Real Numbers

17. What is the definition of a complex number?

18. PowerAnswer

19. Adding and Subtracting Complex Numbers

21. Multiplying Complex Numbers

22. Identify: Real or Complex