Show that 5/5 is an irrational number.

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If possible, let ( 5 sqrt{3} ) be a rational number. So, ( 5 sqrt{3}=p / q ) where ( p ) and ( q ) are co-prime integers and ( q eq 0 ) So, ( sqrt{3}=frac{p}{5 q} ) So, R.H.S is a rational number and hence ( sqrt{3} ) is also rational which is a contradiction. So our supposition is wrong. Hence, 5 is an irrational number

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