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.
(i) 
is an irrational number.
Now, (
) – (
) = 0
0 is the rational number.
(ii) Let two irrational numbers are 5
and 
Now, (5
) – (
) = 4
4
is an irrational number.
(iii) Let two irrational numbers be 
and - 
Now, (
) + (-
) = 0
0 is a rational number
(iv) Let two irrational numbers are 4
and 
Now, (4
) + (
= 5
5
is an irrational number.
(v) Let two irrational numbers are 2
and 
Now, 2
* 
= 2 * 3
= 6
6 is a rational number.
(vi) Let two irrational numbers are 
and 
Now, 
* 
= 
(vii) Let two irrational numbers are 3
and 
Now, 
= 3
# is a rational number.
(viii) Let two irrational numbers are 
and 
Now, 
= 
= 
is an irrational number.