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Radical Expressions: Multiplication and Division Simplified Guide

Learn to multiply and divide radical expressions with examples on using product property, distributive property, FOIL method, and rationalizing the denominator. Practice simplifying roots.

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Radical Expressions: Multiplication and Division Simplified Guide

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  1. Warm Up(On Separate Sheet) • Simplify each expression. • 1. • 2. • 3. • 4.

  2. 11-8 Multiplying and Dividing Radical Expressions Holt Algebra 1

  3. Example 1A: Multiplying Square Roots Multiply. Write the product in simplest form. Product Property of Square Roots. Multiply the factors in the radicand. Simplify.

  4. 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.

  5. Example 1C: Multiplying Square Roots Multiply. Write the product in simplest form. Simplify.

  6. Distribute 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.

  7. Distribute Example 2B: Using the Distributive Property Multiply. Write the product in simplest form. Product Property of Square Roots. Simplify the radicands. Simplify.

  8. Distribute Check It Out! Example 2c Multiply. Write the product in simplest form. Product Property of Square Roots. Simplify the radicand. Simplify.

  9. Remember! First terms Outer terms Inner terms Last terms See Lesson 7-7.

  10. 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.

  11. 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.

  12. 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.

  13. Check It Out! Example 4a Simplify the quotient. Multiply by a form of 1 to get a perfect-square radicand in the denominator. Simplify the square root in denominator.

  14. Lesson Quiz Multiply. Write each product in simplest form. 1. 2. 3. 4. 5. 6. 7. Simplify each quotient. 8. 9.

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