02 rational & irrational - divisible is 2 by divisible...

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Rational Numbers Rational numbers can be expressed in the form where a and b are integers. b a Irrational Numbers Irrational numbers are numbers which are not rational. All irrational numbers can be expressed as a unique infinite decimal.
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irrational is 2 Prove . . g e “Proof by contradiction” rational is 2 Assume b a = 2 where a and b are integers with no common factors a b = 2 2 2 2 a b = 2 by divisible be must Thus 2 a 4 by
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Unformatted text preview: divisible is 2 by divisible is that square Any 4 by divisible be must Thus 2 a 4 by divisible be must 2 2 b 2 by divisible be must means which 2 b factor common a have must and 2 by divisible both are and So 2 2 b a However, a and b have no common factors rational not is 2 so irrational is 2 Exercise 2B; 2a, 3, 4 (root 3), 8, 14*...
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02 rational & irrational - divisible is 2 by divisible...

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