1-6 Radicals (Day 1) and Rational Exponents (Day 2)

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1-6 Radicals (Day 1) and Rational Exponents (Day
2)
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What is a Radical?

• In simplest term, the definition of the radical
  ( ) is this
• If a gt 0 then where x gt 0 and
• Principle Square Root
• The Positive root

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Now extend to when

• The Principle nth root of a
• If a gt 0 then x such that
• 2.
• 3. If a lt 0 and n is odd then is a
  negative number such that .
• 4. If a lt 0 and n is even, is not real.
  

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AUGH! What was all that?

• That was the Mathlish for evaluating radical
  expressions where the index ? 2. Lets learn the
  vocabulary before we practice the problems.

Vocab Word
Radical Expression
Index or Root
Radicand
If n is missing, then it is understood to be 2
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Form of a Radical Problem
because
because
Notice this method!!
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Rules of Radicals

• So, the goal today will be to pull out perfect
  roots (perfect squares, cubes, etc). Prime
  factoring will often help.

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Practice problems
Simplify each expression