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.

Explanation

1. `sqrt(2)-sqrt(2)=0`

2. `3sqrt(7)-1sqrt(7)=2sqrt(7)`

3.. `sqrt(3)+(-sqrt(3))=0`

4.`3sqrt(7)+1sqrt(7)=4sqrt(7)
`
5. `sqrt(2) xx sqrt(2)=2`

6. `sqrt(3) xx sqrt(2)=sqrt(6)`

7. `sqrt(18) / (sqrt(2))=3`

8.. `sqrt(18) / (sqrt(3))=sqrt(6)`