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Special Integral Type-2 and Rational Irr...

Special Integral Type-2 and Rational Irrational Basics

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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.

State whether the given statement is ture or flase. (i) The sum of two rationals is always rational. (ii) The product of two rationals is always rational. (iii) The sum of two irrationals is always an irrational . (iv) The product of two irrationals is always an irrational. (iv) The product of two irrationals is always an irrationals. (v) The sum of a rational is irrational. (vi) The product of a rational and an irrational is irrational.