Splash Screen Five-Minute Check (over Lesson 6–4) CCSS Then/Now New Vocabulary Key Concept: Product Property of Radicals Example 1: Simplify Expressions with the Product Property Key Concept: Quotient Property of Radicals Example 2: Simplify Expressions with the Quotient Property Concept Summary: Simplifying Radical Expressions Example 3: Multiply Radicals Example 4: Add and Subtract Radicals Example 5: Multiply Radicals Example 6: Real-World Example: Use a Conjugate to Rationalize a Denominator Lesson Menu Content Standards A.SSE.2 Use the structure of an expression to identify ways to rewrite it. Mathematical Practices 1 Make sense of problems and persevere in solving them. CCSS You simplified expressions with nth roots. • Simplify radical expressions. • Add, subtract, multiply, and divide radical expressions. Then/Now • rationalizing the denominator • like radical expressions • conjugate Vocabulary Concept Simplify Expressions with the Product Property Example 1 Simplify Expressions with the Product Property Example 1 A. Simplify . Example 1 Example 1 Concept Simplify Expressions with the Quotient Property A. Example 2 Simplify Expressions with the Quotient Property Example 2 A. Simplify . Example 2 B. Simplify Example 2 Concept Multiply Radicals Example 3 Example 3 Add and Subtract Radicals Example 4 Example 4 Multiply Radicals Simplify . Example 5 Simplify . Example 5 GEOMETRY In the triangle shown with height x, the ratio of the height to the base is . Use a conjugate to rationalize the denominator and simplify . Example 6 6.5 HW: P. 419 18-52E Homework End of the Lesson