Question

Number Systems
nal
(vii) 22
leggi
EXERCISE 1C
1. What are irrational numbers? How do they differ from rational
numbers? Give examples.
2. Classify the following numbers as rational or irrational. Give reasons to
support your answer.
(iii) 21
(iv) (1.44
1) 18 (1) 1361
(v) 6 (vi) 4.1276
(ix) 3.040040004
(viii) 1.232332333 ...
(xi) 6.834834...
(x) 2.356565656 ...
3. Let x be a rational number and y be an irrational number. Is x+y
necessarily an irrational number? Give an example in support of your
12010. 141
answer.
4. Let a be a rational number and b be an irrational number. Is ab
necessarily an irrational number? Justify your answer with an example.
5. Is the product of two irrationals always irrational? Justify your answer
[2015]
6. Give an example of two irrational numbers whose
(i) difference is an irrational number.
(ii) difference is a rational number.
(iii) sum is an irrational number.
fiy) sum is a rational number.
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Answer 1

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