1. Do-Now: Simplify (using calculator)
A. B.
C. D.

2. 9.1 Properties of Radicals - Day 1
Objective: Simplify Radicals

3. Definitions Radical Expression: an expression that contains a radical.
Simplest Form: the following three conditions are met
No radicals have perfect nth powers as a factor other than 1
No radicands contain fractions
No radicals appear under the denominator

4. Product Property of Square Roots: The square root of a product equals the product of the square roots of the factors.
Algebra:
Numbers:

5. Examples:

6. Quotient Property of Square Roots: The square root of a quotient equals the quotient of the square roots of the numerator and the denominator.
Algebra:
Numbers:

7. Examples:

8. Rationalizing the Denominator: The process used to “get rid” of a radical in the denominator. Multiply the fraction by the appropriate form of 1 to eliminate the radical from the denominator.

9. Examples:

10. Examples:

11. Examples:

12. Class work Page 485 #13-27 odd 45-51 odd

13. 9.1 Radicals – DAY 2

14. Like Radicals: Radicals with the same index and radicand
Like Radicals: Radicals with the same index and radicand. (You can add and subtract like radicals the same way you combine like terms by using the Distribution Property)

16. Examples: