Explain, how irrational numbers differ from rational number?

Define an irrational number.

Give an example of each, of two irrational numbers whose: (i) difference is a rational number. (ii) difference is an irrational number. (iii) sum is a rational number. (iv) sum is an irrational number. (v) product is a rational number. (vi) product is an irrational number. (vii) quotient is a rational number. (viii) quotient is an irrational number.

Write a pair of irrational numbers whose difference is 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.

Write of pair of irrational numbers whose difference is irrational .

The multiplication of a rational number 'x' and an irrational number 'y' is

Which of the following is a correct statement? (A)Sum of two irrational numbers is always irrational (B) Sum of a rational and irrational number is always an irrational number (C)Square of an irrational number is always an irrational number (D) Sum of two rational numbers can never be an integer

Give examples of two irrational numbers the product of which is: a rational number (ii) an irrational number

Write a pair of irrational numbers whose sum is rational .

Examine each of the as a rational number or an irrational number. (6)/(sqrt(3))