1. Class Greeting

2. Objective: The student will learn how to simplify radicals containing common factors and variable factors using the product rule for radicals.

3. Lesson 9-2a
Simplifying Radicals

4. Vocabulary 11.1 an expression under a radical p 586 (root) sign
an expression with a radical in it p 586

5. = 2(5)
= 10

6. On every quiz or homework with radicals your answers MUST be in simplest form. For radical expressions here are the rules:
No radicands have perfect factors, except for 1.
2. No radicands have fractions.
3. No radicands are in the denominator.

7. Simplify:
Answer:
Example 1-1a

8. Simplify: or
Answer:
Example 1-1b

9. Find o
Example 1-2a

10. Find or
Answer:
Example 1-2b

11. The ensures a nonnegative result. Answer:
Simplify
The ensures a nonnegative result.
Answer:
Example 1-3a

12. The ensures a nonnegative result. Answer:
Simplify
The ensures a nonnegative result.
Answer:
Example 1-3a

13. Lesson Summary:
Objective: The student will learn how to simplify radicals containing common factors and variable factors using the product rule for radicals.

14. Preview of the Next Lesson:
Objective: The student will learn the quotient rule for radicals and how to use it to simplify radicals with fractional radicands. They will also learn how to normalize the denominator of fractions with radicals. Finally, students will learn how to simplify radicals involving decimals.

15. Kahoot!

16. Stand Up Please

17. 𝑧 2 −4𝑥 x = 2, z = -1 𝑏 2 −4𝑎𝑐 a = 2, b = -3, c = -4
Review: 9.1c Mini-Quiz
Evaluate the expression for the given value of the variables. If not possible state the reason. Round the answer to two decimal places.
5𝑥−𝑦 x = 4, y = -5
𝑧 2 −4𝑥 x = 2, z = -1
𝑏 2 −4𝑎𝑐 a = 2, b = -3, c = -4