3. Give an example of each, two irrational numbers,
whose :
(i) difference is a rational number.
(ii) sum is rational number.
(iii) product is a rational number.
(iv) quotient is a rational number.
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Answer:
) 2 + √5 , and 3 + √5
ii) 10 + 3 , 5 - √3
iii) 3 +√2 , 3 - √2
iv) 5√3 , 3√3
v) 3 - √5 , 5 +√3
vi) 5 √8 , √2
vii) 2√3 , √3
viii) 2√10 , 2√2
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