Addition of rational and irrational number is always irrational.

Which of the following statements is true? product of two irrational numbers is always irrational Product of a rational and an irrational number is always irrational Sum of two irrational numbers can never be irrational Sum of an integer and a rational number can never be an integer

Which of the following is a correct statement? Sum of two irrational numbers is always irrational Sum of a rational and irrational number is always an irrational number Square of an irrational number is always an irrational number Square of an irrational number is always a rational number Sum of two rational numbers can never be an integer

Is the product of a rational and an irrational number always irrational ? Give an example.

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 :

Is pi a rational or an irrational numbers?

Negation of an irrational number is an irrational number.

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 .

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.