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11-6

11-6. Radical Expressions. Warm Up. Lesson Presentation. Lesson Quiz. Holt Algebra 1. Warm Up Identify the perfect square in each set. 1. 45 81 27 111 2. 156 99 8 25 3. 256 84 12 1000 4. 35 216 196 72. 81. 25. 256. 196. Warm Up Continued

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11-6

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  1. 11-6 Radical Expressions Warm Up Lesson Presentation Lesson Quiz Holt Algebra 1

  2. Warm Up • Identify the perfect square in each set. • 1. 45 81 27 111 • 2. 156 99 8 25 • 3. 256 84 12 1000 • 4. 35 216 196 72 81 25 256 196

  3. Warm Up Continued Write each number as a product of prime numbers. 5. 36 6. 64 7. 196 8. 24

  4. Objective Simplify radical expressions.

  5. Vocabulary radical expression radicand

  6. Remember that positive numbers have two square roots, one positive and one negative. However, indicates a nonnegative square root. When you simplify, be sure that your answer is not negative. To simplify you should write because you do not know whether x is positive or negative.

  7. Check It Out! Example 1 Simplify each expression. a. b.

  8. Example 2A: Using the Product Property of Square Roots Simplify. All variables represent nonnegative numbers. Factor the radicand using perfect squares. Product Property of Square Roots. Simplify.

  9. Check It Out! Example 2a Simplify. All variables represent nonnegative numbers. Factor the radicand using perfect squares. Product Property of Square Roots. Simplify.

  10. Check It Out! Example 2a Simplify. All variables represent nonnegative numbers. Factor the radicand using perfect squares. Product Property of Square Roots. Simplify.

  11. Check It Out! Example 2a Simplify. All variables represent nonnegative numbers. Factor the radicand using perfect squares. Product Property of Square Roots. Simplify.

  12. Check It Out! Example 2a Simplify. All variables represent nonnegative numbers. Factor the radicand using perfect squares. Product Property of Square Roots. Simplify.

  13. Check It Out! Example 2a Simplify. All variables represent nonnegative numbers. Factor the radicand using perfect squares. Product Property of Square Roots. Simplify.

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