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11-6Radical 11-6 RadicalExpressions Expressions Warm Up Lesson Presentation Lesson Quiz Holt Algebra Holt Algebra 11 11-6 Radical Expressions Warm Up Identify the perfect square in each set. 1. 45 81 27 111 81 2. 156 99 8 25 25 3. 256 84 12 1000 256 4. 35 216 196 72 196 Holt Algebra 1 11-6 Radical Expressions Warm Up Continued Write each number as a product of prime numbers. 5. 36 6. 64 7. 196 8. 24 Holt Algebra 1 11-6 Radical Expressions Objective Simplify radical expressions. Holt Algebra 1 11-6 Radical Expressions Vocabulary radical expression radicand Holt Algebra 1 11-6 Radical Expressions Holt Algebra 1 11-6 Radical Expressions 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. Holt Algebra 1 11-6 Radical Expressions Check It Out! Example 1 Simplify each expression. a. Holt Algebra 1 b. 11-6 Radical Expressions Holt Algebra 1 11-6 Radical Expressions 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. Holt Algebra 1 11-6 Radical Expressions Check It Out! Example 2a Simplify. All variables represent nonnegative numbers. Factor the radicand using perfect squares. Product Property of Square Roots. Simplify. Holt Algebra 1 11-6 Radical Expressions Check It Out! Example 2a Simplify. All variables represent nonnegative numbers. 75 25 3 25 5 3 Holt Algebra 1 3 Factor the radicand using perfect squares. Product Property of Square Roots. Simplify. 11-6 Radical Expressions Check It Out! Example 2a Simplify. All variables represent nonnegative numbers. 200 Factor the radicand using perfect squares. Product Property of Square Roots. 100 2 100 2 Simplify. 10 2 Holt Algebra 1 11-6 Radical Expressions Check It Out! Example 2a Simplify. All variables represent nonnegative numbers. 90 9 10 9 10 Factor the radicand using perfect squares. Product Property of Square Roots. Simplify. 3 10 Holt Algebra 1 11-6 Radical Expressions Check It Out! Example 2a Simplify. All variables represent nonnegative numbers. 48 16 3 16 3 Factor the radicand using perfect squares. Product Property of Square Roots. Simplify. 4 3 Holt Algebra 1