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

REALLY RADICAL REVIEW

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

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

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

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

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

Solving Quadratics with Square Roots

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

You Try it!! Simplify – 6 7 – 5 9 8

HOMEWORK Textbook – Page 269 3 -17 (odd) To be continued…