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Section 7.5 Expressions Containing Several Radical Terms

Section 7.5 Expressions Containing Several Radical Terms. Adding & Subtracting Radical Expressions Products & Quotients of Several Terms Rationalizing Denominators (part 2) Terms with Differing Indices. Adding & Subtracting Like Radicals.

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Section 7.5 Expressions Containing Several Radical Terms

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  1. Section 7.5 Expressions Containing Several Radical Terms • Adding & Subtracting Radical Expressions • Products & Quotients of Several Terms • Rationalizing Denominators (part 2) • Terms with Differing Indices 7.5

  2. Adding & Subtracting Like Radicals • Each term must have a radical with identical index and radicand • Law of distribution allows combining or factoring • Like radicals: • Unlike radicals (cannot combine) 7.5

  3. Simplify before Trying to Combine 7.5

  4. Use Distribution toMultiply Like Indices 7.5

  5. The Beauty of Square Root Conjugates • Square roots only: • Middle term disappears • And Radicals disappear 7.5

  6. Try this one in class: • Now this one: 7.5

  7. Using Conjugates to Rationalize Denominators (Part 2) – [or Numerators] 3 14 7.5

  8. Terms with Differing Indices 7.5

  9. More UnLike Indices 7.5

  10. What Next? Solving Radical Equations • Present Section 7.6 7.5

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