Given that the product of two rational numbers is rational, and suppose a and b are rationals, what can you conclude about ab ?

The sum of two rational numbers is a rational number.

The product of a rational number and an irrational number is

Fill in the blanks : The product of two rational numbers is always a _______.

Fill in the blanks : The product of two rational numbers is always a …………… .

State True or False :- The product of two rational numbers is always rational.

The product of two rational expressions is always a rational expression.

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.