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Roots, Radicals, and Complex Numbers

Learn about roots, radicals, rational exponents, simplifying radicals, and solving radical equations. Understand adding, subtracting, and multiplying radicals, and complex numbers in this comprehensive guide.

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Roots, Radicals, and Complex Numbers

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  1. Chapter 7 Roots, Radicals, and Complex Numbers

  2. 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

  3. Adding, Subtracting, and Multiplying Radicals § 7.4

  4. Add and Subtract Radicals Like Radicals and Unlike Radicals • Like radicals are radicals having the same radicand and index. • Unlike radicals are radicals differing in either the radicand or the index. Examples of Like Radicals Examples of Unlike Radicals

  5. Adding & Subtracting • Simplify each radical expression. • Combine like radicals (if there are any). To Add or Subtract Radicals Example

  6. CAUTION! The product rule does not apply to addition or subtraction! 

  7. Multiply Radicals Example: Multiply and simplify. Product rule for radicals. 16x8 is a perfect square.

  8. Multiply Radicals Examples

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