Chapter 7 Roots Radicals and Complex Numbers Copyright

Chapter 7 Roots, Radicals, and Complex Numbers Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 7 -

Chapter Sections 7. 1 – Roots and Radicals 7. 2 – Rational Exponents 7. 3 – Simplifying Radicals 7. 4 – Adding, Subtracting, and Multiplying Radicals 7. 5 – Dividing Radicals 7. 6 – Solving Radical Equations 7. 7 – Complex Numbers Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 7 -2 2

§ 7. 4 Adding, Subtracting, and Multiplying Radicals Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 7 -

Add and Subtract Radicals Like Radicals and Unlike Radicals • Like radicals are radicals having the same radicand index. • Unlike radicals are radicals differing in either the radicand or the index. Examples of Like Radicals Examples of Unlike Radicals Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 7 -4 4

Adding & Subtracting To Add or Subtract Radicals 1. Simplify each radical expression. 2. Combine like radicals (if there any). Example Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 7 -5 5

CAUTION! The product rule does not apply to addition or subtraction! Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 7 -6 6

Multiply Radicals Example: Multiply and simplify. Product rule for radicals. 16 x 8 is a perfect square. Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 7 -7 7

Multiply Radicals Examples Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 7 -8 8