6.4 Addition, Subtraction, and more multiplication 6.5 Division of Radical Expressions - PowerPoint PPT Presentation

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6.4 Addition, Subtraction, and more multiplication 6.5 Division of Radical Expressions

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6.4 Addition, Subtraction, and more multiplication 6.5 Division of Radical Expressions Add and Subtract To add and subtract radical terms, they must have the same ... – PowerPoint PPT presentation

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Title: 6.4 Addition, Subtraction, and more multiplication 6.5 Division of Radical Expressions


1
6.4 Addition, Subtraction, and more
multiplication6.5 Division of Radical Expressions
2
Add and Subtract
  • To add and subtract radical terms, they must have
    the same indices and same radicands.
  • For example
  • -83 5 and 6 3 5 are like radicals because
    they have the same indices and same radicands

3
  • 1)
  • 2)
  • 3)
  • 4)

4
More examples
  1. 7 45 - 2 5
  2. 3 3 y5 4 3 y2 3 8y6
  3. 25x-25 - 9x-9

5
Multiply
  • To multiply radical terms (indices have to be the
    same) just multiply radicands then simplify
  • For example
  • 3 4 3 10

  • 3 40 3 85
  • 2 3 5

6
  • 1)
  • 2)
  • 3)

7
  • 4)
  • 5)

8
Rationalize Denominator eliminate the radical
terms in the denominator
  • 2 2 5 10
  • 5 5 5 5
  • 4 7
  • 4 2
  • 3




9
Rationalize Denominator eliminate the radical
terms in the denominator
  • 1)
  • 2)

10
  • 3)

11
Terms with different indices convert to
exponential notation
  • Ex
  • On paper
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