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

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Presentation transcript:

Holt Algebra Multiplying and Dividing Radical Expressions Warm Up(On Separate Sheet) Simplify each expression

Holt Algebra Multiplying and Dividing Radical Expressions 11-8 Multiplying and Dividing Radical Expressions Holt Algebra 1

11-8 Multiplying and Dividing Radical Expressions Example 1A: Multiplying Square Roots Multiply. Write the product in simplest form. Product Property of Square Roots. Multiply the factors in the radicand. Simplify.

Holt Algebra Multiplying and Dividing Radical Expressions Example 1B: Multiplying Square Roots Multiply. Write the product in simplest form. 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 1C: Multiplying Square Roots Multiply. Write the product in simplest form. Simplify.

Holt Algebra Multiplying and Dividing Radical Expressions Example 2A: Using the Distributive Property Multiply. Write each product in simplest form. Product Property of Square Roots. Multiply the factors in the second radicand. Simplify. Distribute

Holt Algebra Multiplying and Dividing Radical Expressions Example 2B: Using the Distributive Property Multiply. Write the product in simplest form. Product Property of Square Roots. Distribute Simplify the radicands. Simplify.

Holt Algebra Multiplying and Dividing Radical Expressions Check It Out! Example 2c Multiply. Write the product in simplest form. Product Property of Square Roots. Simplify the radicand. Simplify. Distribute

Holt Algebra Multiplying and Dividing Radical Expressions First terms Outer terms Inner terms Last terms See Lesson 7-7. Remember!

Holt Algebra Multiplying and Dividing Radical Expressions Example 3A: Multiplying Sums and Differences of Radicals Multiply. Write the product in simplest form. Use the FOIL method. Simplify by combining like terms. Simplify.

Holt Algebra Multiplying and Dividing Radical Expressions Example 3B: Multiplying Sums and Differences of Radicals Multiply. Write the product in simplest form. Expand the expression. Use the FOIL method. Simplify by combining like terms.

Holt Algebra Multiplying and Dividing Radical Expressions Example 4A: Rationalizing the Denominator Simplify the quotient. Multiply by a form of 1 to get a perfect- square radicand in the denominator. Product Property of Square Roots. Simplify the denominator.

Holt Algebra Multiplying and Dividing Radical Expressions Check It Out! Example 4a Simplify the quotient. Simplify the square root in denominator. Multiply by a form of 1 to get a perfect- square radicand in the denominator.

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