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.