If x and y be rational and irrational numbes respectively. Is x+y necessarily an irrational number? Given an example in support of your answer.

Insert a rational and an irrational number between 3 and 4.

Let x be rational and y be irrationa? Is xy necessarily irrationa? Justify yoru answer by an example.

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

Give an example of two irrational numbers whose difference is a rational number.

All the rational numbers are irrational also.

Explain, how irrational number differ from rational number.

The square of an irrational number is always rational.

Define an irrational number. How does it differ from rational numbers.

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.

Write the difference of an irrational and a rational number.