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" 5.The sum/difference of a rational and...

" 5.The sum/difference of a rational and an irrational number is "

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Assertion : 5-sqrt(2)=5-1.414=3.586 is an irrational number . Reason : The difference of a rational number and an irrational number is an irrational number .

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State, in each case, whether the given statements is ture or false. (i) The sum of two rational numbers is rational. (ii) The sum of two irrational numbers is irrational. (iii) The product of two rational numbers is rational. (iv) The product of two irrational numbers is irrational. (v) The sum of a rational number and irrational number is irrational. (vi) The product of a nonzero rational number and an irrational number is a rational number. (vii)Every real number is rational or irrational. (viii) Every number is either rational or irrational. (ix) pi is irrational and (22)/(7) is rational.