Prove that riot 2 is irrational

1.	Prove that riot 2 is irrational
Answer» Firstly suppose √2 is rational Than √2=a\\ba ans b both are integers also hcf of a,b =1 Squarin both sides2=a2\\b22b2=a2a2is divisible by 2 Also, a is divisible by 2 Now a=2m Put it in firt eq.2b2=4m2b2=2m2b2is divisible by 2 Also, b is divisible by 2 So , hcf of a,b =2 So it is not rational It is irrational ..

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