Q9 of 131 Page 1

Give an example for each, if two irrational numbers, whose
       (i) difference is a rational number.
       (ii) difference is a irrational number.
       (iii) sum is a rational number.
       (iv) sum is an irrational number.
       (v) product is an irrational number,
       (vi) product is an irrational number.
       (vii) quotient is a rational number.
       (viii) quotient is an irrational number.


More from this chapter

All 131 →
7 Find three rational numbers lying between 8 Complete the following:
(i) Every point on the number line corresponds to a ………………. number which may be either ………………….. or ……………………
(ii) The decimal form of an irrational number is neither ……………… nor ……………………
(iii) The decimal representation of the rational number   is …………………
(iv) 0 is  …………….. number. [Hint: a rational /an irrational] 10 Which of the following rational numbers have the terminating decimal representation?
       (i) 3/5              (ii) 7/20                   (iii) 2/13
       (iv) 27/40        (v) 133/125            (vi) 23/7
       [Making use of the result that a rational number p/q where p and q have no common factor(s) will have a terminating representation if and only if the prime factors of q are 2's or 5's or both.] 11 Find the decimal representation of 1/7, 2/7. Deduce from the decimal representation of 1/7, without actual calculation, the decimal representation of 3/7, 4/7, 5/7 and 6/7.