Are there two distinct irrational numbers such that their difference is a rational number? Justify

(a) (i) By taking any two irrational numbers, prove that their sum is a rational number. (ii) By taking any two irrational numbers, prove that their difference is a rational number. (b) Insert in between 1/7 and 2/7 (i) a rational number : (ii) an irrational number.

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

Write a pair of irrational numbers whose difference is rational.

Give an example each,of two irrational number whose (i)difference is a rational number.

Between two distinct irrational numbers there lie______rational numbers.

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.

give one example of two irrational number whose difference is a rational number and sum is irrational number.

Give an example of each,of two irrational numbers whose: difference is a rational number.difference is an irrational number. sum is a rational number.sum is an irrational number.product is a rational number.product is an irrrational number.quotient is a rational number.quotient is an irrational number.

Give an example of two irrational numbers whose. (i) Difference is an irrational number. (ii) difference is a rational number. (iii) sum is an irrational number. (iv) sum is a rational number. (v) product is an irrational. (vi) product is a rational number.