Math, asked by dapsianutkarsh, 7 months ago

Prove that 13 - V2 is
an irrational number​

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Answered by lk162381
0

Step-by-step explanation:

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dubeymanish1996

dubeymanish1996

19.06.2017

Math

Secondary School

+5 pts

Answered

Prove that √13 is irrational

2

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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

Answered by umitbarman1111
2

here is your answer

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