1. Use Properties of Radicals to simplify radicals.
9.2 Simplifying Radicals
Goal:
Use Properties of Radicals to simplify radicals.
Eligible Content: A

2. Vocabulary Simplest Form
The radicand is not divisible by any perfect squares
The radicand is not a fraction
There is no radical symbol in the denominator of a fraction

3. Vocabulary
Product Property – the square root of a product equals the product of the square roots of the factors.
𝑎∙𝑏 = 𝑎 ∙ 𝑏

4. Simplify: 50
Method 1: Know your perfect squares 50 = 25 * 2 So 50 = 25 ∙ 2 2 5

5. Simplify: 50
Method 2: Make a factor tree! 50 5 * 10 5 * 2 * 5 2 5

6. Examples 48
125 96
5 44
3 ∙ 12
3 ∙ 21
4 3
5 5
4 6
10 11 6
3 7

7. A. B.
C. 15 D.

8. A. B. C.
D. 35

9. Vocabulary
Quotient Property – the square root of a quotient equals the quotient of the square root of the numerator and denominator.
𝑎 𝑏 = 𝑎 𝑏

10. Simplify:
4 25
2 5 = =

11. Examples
3 4
20 4
32 50
7 16
18 3
80 45
𝟑 𝟐
𝟕 𝟒
𝟓 𝟐 𝟐
𝟒 𝟓
𝟒 𝟑

12. Practice 32 54
486 8
18 25
72 6
40 90
49 81

13. Homework
Page 631 #1-6
#17-26