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7root5=a/b {where a $ b are co-prime integers and b is not equal to 0}

root5=a/7b

since a $ b are integers, a/7b is rational, so root5 is also rational. But this contradicts the fact that root5 is irrational.

Hence 7root5 is irrational.

so.,7root5=a/b

root 5=a/b

because,7,a,andb are integers so therefore a/7b is a rational number

so ,root5 is rational number

this assumption that the fact root 5is irrational. so our assumption is not correct.