prove 1/√2 is irrational
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let us assume 1/√2 is rational
1/√2=p/q
then if we interchange the ratios it will be that √2 is rational as p q and 1 are rational and p q are co prime
but it contradicts the fact that√2 is irrational
this contradiction in due to wrong supposition therefore 1/√2 is irrational
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