Test 7.4-7.5

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7.4: nth roots

  • if an = b, then a is an nth root of b.
  • table of how many nth roots of what sort
  • principal root
  • simplify
  • simplify using absolute power
  • evaluate with calculator

7.5: Operations with Radical Expressions

  • product and quotient properties
  • simplifying radical expressions
  1. the index n is as small as possible
  2. radicand without nth powers
  3. radicand without fractions
  4. no radicals in denominator
  • multiplying radicals (foiling!)
  • rationalizing denominator
    • multiplication to make powers match indexes
    • multiplication by conjugates (foiling again!)
  • adding like radical expressions (indexes and radicands the same)
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