# Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.

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Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 5 Example Add or subtract. a. b. Solution a. b.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 6 continued Simplify. c. d. Solution c. d. Combine the like radicals by subtracting the coefficients and keeping the radical. Regroup the terms.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 7 Example Add or subtract. a. b. Solution a. b. Factor 28. Combine like radicals. Simplify.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 8 continued c. Solution c.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 9 Example Find the product. Solution Use the distributive property. Multiply.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 10 Example Find the product. Solution Use the product rule. Use the distributive property. Find the products. Combine like radicals.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 11 Example Find the product. Solution

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 12 Example Find the product. Solution Simplify. Use (a – b) 2 = a 2 – 2ab – b 2.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 13 Example Find the product. Solution Simplify. Use (a + b)(a – b) = a 2 – b 2.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 14 Example Find the product. Solution

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 15 Example Simplify. a. Solution a. b.