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Prove Root 13 irrational

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Prove Root 13 irrational
  • 1 answers

Mayur Chauhan 5 years, 4 months ago

Let us assume that √13 is rational no and equals to p/q are Co primes √13=p/q squaring both sides √13*2=p*2/q*2 13=p*2/q*2 13q*2=p*2 13/p*2 13/p p=3r for some integer r p*2=169r*2 13q*2=169*2 b*2=13r*2 13/b*2 13/b 13 is a common factor but this is contradiction hence our supposition is wrong √13 is irrational no.
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