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INSTRUCTORS Carleen Eaton Grant Fraser

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For more information, please see full course syllabus of Algebra 2
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Operations with Radical Expressions

  • To simplify a square root expression, extract all perfect squares from the radicand.

  • When adding or subtracting, combine only like radicals.

  • To rationalize a radical expression with a binomial denominator, multiply the numerator and denominator by the conjugate of the denominator.

Operations with Radical Expressions

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Properties of Radicals 0:22
    • Example
  • Simplifying Radical Expressions 2:58
    • Examples
  • Rationalizing Denominators 4:08
    • Examples
  • Conjugate Radical Expressions 8:01
    • Example
  • Adding and Subtracting Radicals 11:23
    • Examples
  • Multiplying Radicals 12:57
    • Examples
  • Lecture Example 1 16:53
  • Lecture Example 2 20:11
  • Additional Example 3
  • Additional Example 4