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 Rational Exponent?

• There is another way to indicate square (cube,
  etc) root.
• For any real b and n gt 2,
• By extension,

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Dont be overwhelmed by fractions!

• These problems are not hard, as long as you
  remember what each letter means. Notice I used
  p as the numerator and r as the denominator.
  
• Hmmmm. I wonder why..
• Anyone? Anyone? Bueller?
• Either simplify to smallest base and follow rules
  of exponents, or write as radicals. Whichever
  works for you.

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Practice problems
Simplify each expression
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The last part of this topic

• What is wrong with this number?
• So, if we do see a radical in the denominator
  (make sure you know why that IS a radical) what
  do you have to do?

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Rationalizing

• If you see a single radical in the denominator,
  multiply top and bottom by a radical that will
  create a perfect root (under the radical) in the
  denominator.

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Rationalizing

• If you see 1 or more radicals in a binomial, what
  can we do?

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What is a Conjugate?

• The conjugate of a b is a b. Why?
• The conjugate will get rid of any radicals and
  give you a rational number in the denominator.

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Rationalizing

• Multiply top and bottom by the conjugate! Its
  MAGIC!!

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