The square of an irrational number is always rational.

Which one of the following statement is true? (i) The sum of two irrational numbers is always an irrational number. (ii) The sum of two irrational numbers is always a rational number. (iii) The sum of two irrational numbers may be a rational number or irrational number. (iv) The sum of two irrational numbers is always an integer.

Check the validity of the statement given below by the method given against it. The sum of an irrational number and a rational number is irrational.

Check the validity of the statement given below by the method given against it:- p: The sum of an irrational number and a rational number is irrational (by contradiction method).

The product of a non-zero rational number and an irrational number is irrational.

All the rational numbers are irrational also.

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 …………… .