1. Warmup
Find the exact value.
1. √49
2. –√144

2. REALLY RADICAL REVIEW

3. Key Terms:
A number r is a ___________ of a number s. If r² = s. Ex. 3² = 9 and (-3)² = 9 Therefore, 𝟗 =𝟑 and − 𝟗 =−𝟑

4. Multiply Numerator & Denominator
Key Terms:
Rationalizing the denominator
**Note: The expression 𝑎+ 𝑏 𝑎𝑛𝑑 𝑎− 𝑏 are called conjugates of each other.
Form of Denominator
Multiply Numerator & Denominator 𝑏
𝑎+ 𝑏
𝑎− 𝑏
𝑎 − 𝑏

5. KEY CONCEPT: Properties of Square Roots Ex. 𝟏𝟖 = 𝟗 ∙ 𝟐 =𝟑 𝟐
Product Property - 𝒂𝒃 = 𝒂 ∙ 𝒃
Ex. 𝟏𝟖 = 𝟗 ∙ 𝟐 =𝟑 𝟐
Quotient Property - 𝒂 𝒃 = 𝒂 𝒃
Ex. 𝟐 𝟐𝟓 = 𝟐 𝟐𝟓 = 𝟐 𝟓

6. Use Properties of Square Roots
Simplify the expression. a. 80 b. 6 21 c. 4 81 d. 7 16

7. You Try it!
Simplify the expression. 98 1. 2. 8 28 3. 11 25 4. 36 49

8. Solving Quadratics with Square Roots

9. Rationalize denominators of fractions
Simplify 3
7 + 2 5 2
(b)
(a)

10. You Try it!!
Simplify
– 6
7 – 5 9 8

11. HOMEWORK
Textbook – Page (odd)
To be continued…