Prove that 13 - V2 is
an irrational number
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dubeymanish1996
dubeymanish1996
19.06.2017
Math
Secondary School
+5 pts
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Prove that √13 is irrational
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Ukumar1
Ukumar1 Ambitious
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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