1. P3. Radicals and Rational Exponents

2. Ch. P3: Radicals and Rational Exponents

3. Radical sign Radicand Radical Expression Principal Square root Simplify a square root Conjugates Definitions

4. The Product Rule If a and b represent nonnegative real number, then If a and b represent nonnegative real numbers and b does not equal 0, then RULES for Square Roots The Quotient Rule Adding and Subtracting You may only add “like” radicals

5. Square Roots of Perfect Squares The principal square root of a 2 is the absolute value of a.

6. Simplify with Product & Quotient rule:

8. Adding/ Subtracting Like Radicals

10. APPLY: Simplify

11. Let’s go back to yester-year….

12. THE TRICK? RATIONALIZE THE DENOMINATOR

13. Rationalize The Denominator

14. Rationalize with Conjugates

15. The End (Day 1) HW: pg. 42 #1-53 odd

16. Radicals and Rational Exponents (DAY 2) OTHER POWERS

17. QUESTION OF THE DAY WHAT RULES DO YOU ALREADY KNOW ABOUT EXPONENETS? (WARM UP RELATED TO THIS) THEN Discovery activity (next slide) HOW ARE RADICALS AND RATIONAL EXPONENTS RELATED TO EACH OTHER?

18. ExpressionNumerical ValueExpressionNumerical Value

19. Definitions

20. Simplify Higher Roots

22. Combining Cube Roots

23. Using definition of a m/n

24. Simplifying Expressions with Rational Exponents