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Lesson 11-4

Lesson 11-4. Multiplying and Dividing Radical Expressions . Warm Up Simplify each expression. 1. 2. 3. 4. Extension of 2.0

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Lesson 11-4

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  1. Lesson 11-4 Multiplying and Dividing Radical Expressions

  2. Warm Up Simplify each expression. 1. 2. 3. 4.

  3. Extension of 2.0 Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents. California Standards

  4. Multiplying Square Roots Multiply. Write the product in simplest form. All variables represent nonnegative numbers. Steps Product Property of Square Roots Multiply the factors in the radicand. Factor 16 using a perfect-square factor. Product Property of Square Roots Simplify.

  5. You try: Multiplying Square Roots Multiply. Write the product in simplest form. All variables represent nonnegative numbers. Steps Product Property of Square Roots Multiply the factors in the radicand. Factor 16 using a perfect-square factor. Product Property of Square Roots Simplify.

  6. Multiplying Square Roots Multiply. Write the product in simplest form. All variables represent nonnegative numbers. =2 2 =2•2 =4 =4•5 =20

  7. You try: Multiplying Square Roots Multiply. Write the product in simplest form. All variables represent nonnegative numbers. =3 3 =3•3 =9 =9•7 =63

  8. You Try: Multiplying Square Roots Multiply. Write the product in simplest form. All variables represent nonnegative numbers. Factor 12 using a perfect-square factor. Simplify the radicand. Product Property of Square Roots Simplify.

  9. Multiplying Square Roots Using the Distributive Property Distribute Simplify the radicand. Product Property of Square Roots Simplify.

  10. You try: Multiplying Square Roots Using the Distributive Property 1) 2) 3)

  11. REMEMBER: FOIL (2x + 1)(x – 5)

  12. Multiplying Sums and Differences of Radicals FOIL Use the FOIL method. Simplify by combining like terms. Simplify the radicand. Simplify.

  13. You try: Multiplying Sums and Differences of Radicals FOIL Expand the expression. Use the FOIL method. Simplify by combining like terms.

  14. Dividing Square Roots Rationalizing the Denominator Multiply by a form of 1 to get a perfect-square radicand in the denominator. Goal: Get rid of the square root in the denominator

  15. You try: Dividing Square Roots Rationalizing the Denominator Multiply by a form of 1 to get a perfect-square radicand in the denominator. Goal: Get rid of the square root in the denominator

  16. Dividing Square Roots Rationalizing the Denominator Multiply by a form of 1 to get a perfect-square radicand in the denominator. Goal: Get rid of the square root in the denominator

  17. You try: Dividing Square Roots Rationalizing the Denominator Multiply by a form of 1 to get a perfect-square radicand in the denominator. Goal: Get rid of the square root in the denominator

  18. Lesson Quiz Multiply. Write each product in simplest form. All variables represent nonnegative numbers. 1. 2. 3. 4. 5. 6. 7. Simplify each quotient. All variables represent nonnegative numbers. 8. 9.

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