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.

State whether the given statements are true or false : (i) The sum of two rationals is always rational. (ii) The sum of two irrationals is always irrational. (iii) The product of two rationals is always rational. (iv) The product of two irrationals is always irrational. (v) The sum of a rational and an irrational is always rational. (vi) The product of a rational and an irrational is always irrational.

The product of two irrational numbers is

The product of a rational number and an irrational number is

The product of two irrational number is

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.

Consider the following statements (i) The sum of a rational number with an irrational number is always irrationa. (ii) The product of two rational numbers is always rational. (iii) The product of two irrationals is always irrationals. (iv) The sum of two rational is always rational. (v) The sum of two irrationals is always irrational. The correct order of True/False of above statements is :

Consider the following statements (i) The sum of a rational number with an irrational number is always irrationa. (ii) The product of two rational numbers is always rational. (iii) The product of two irrationals is always irrationals. (iv) The sum of two rational is always rational. (v) The sum of two irrationals is always irrational. The correct order of True/False of above statements is :

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