Identify two irrational numbers whose sum is a rational number.
2 + √3 and 2 - √3
As the sum comes out to be 4, which is a rational number.
Identify two irrational numbers whose product is a rational 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.