Holt Algebra 1 11-8 Multiplying and Dividing Radical Expressions Warm Up Simplify each expression. 1. 2. 3. 4.

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Presentation transcript:

Holt Algebra Multiplying and Dividing Radical Expressions Warm Up Simplify each expression

Holt Algebra Multiplying and Dividing Radical Expressions Multiply and divide radical expressions. Rationalize denominators. Objectives

Holt Algebra Multiplying and Dividing Radical Expressions Directions: Multiply. Write the product in simplest form.

Holt Algebra Multiplying and Dividing Radical Expressions Example 1 Product Property of Square Roots. Multiply the factors in the radicand. Factor 16 using a perfect-square factor. Product Property of Square Roots Simplify.

Holt Algebra Multiplying and Dividing Radical Expressions Example 2 Expand the expression. Commutative Property of Multiplication. Product Property of Square Roots. Simplify the radicand. Simplify the Square Root. Multiply.

Holt Algebra Multiplying and Dividing Radical Expressions Example 3 Product Property of Square Roots. Factor 4 using a perfect-square factor. Take the square root.. Simplify.

Holt Algebra Multiplying and Dividing Radical Expressions Example 4 Product Property of Square Roots. Multiply the factors in the radicand. Factor 25 using a perfect-square factor. Product Property of Square Roots Simplify.

Holt Algebra Multiplying and Dividing Radical Expressions Example 5 Expand the expression. Commutative Property of Multiplication. Product Property of Square Roots. Simplify the radicand. Simplify the Square Root. Multiply.

Holt Algebra Multiplying and Dividing Radical Expressions Example 6 Product Property of Square Roots. Factor 14 using a perfect-square factor. Take the square root. Simplify.

Holt Algebra Multiplying and Dividing Radical Expressions Example 7 Product Property of Square Roots. Multiply the factors in the second radicand. Factor 24 using a perfect-square factor. Product Property of Square Roots. Simplify. Distribute

Holt Algebra Multiplying and Dividing Radical Expressions Example 8 Product Property of Square Roots. Distribute Simplify the radicands. Simplify.

Holt Algebra Multiplying and Dividing Radical Expressions Example 9 Product Property of Square Roots. Multiply the factors in the first radicand. Factor 48 using a perfect-square factor. Product Property of Square Roots. Simplify. Distribute

Holt Algebra Multiplying and Dividing Radical Expressions Example 10 Product Property of Square Roots. Simplify the radicand. Simplify. Distribute

Holt Algebra Multiplying and Dividing Radical Expressions Example 11 Product Property of Square Roots. Simplify the radicand. Simplify. Distribute

Holt Algebra Multiplying and Dividing Radical Expressions Example 12 Product Property of Square Roots. Simplify the radicand. Simplify. Distribute

Holt Algebra Multiplying and Dividing Radical Expressions Lesson Summary Multiply. Write each product in simplest form