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Give an example of each, of two irrational numbers whose: difference is a rational number. difference is an irrational number. sum is a rational number. sum is an irrational number. product is a rational number. product is an irrational number. quotient is a rational number. quotient is an irrational number.

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The correct Answer is:
(i)`3+sqrt(2),3-sqrt(2)` , (ii) `5+sqrt(5),-5+sqrt(5)`, (iii) `5+sqrt(3),3+sqrt(2)`, (iv) `5sqrt(3),3+sqrt(2)`, (v) `5+sqrt(3),5-sqrt(3)`, (vi) `2sqrt(3),sqrt(3)`, (vii) `sqrt(2)+1,5+sqrt(3)` ,(viii) `sqrt(2)+1,sqrt(2)-1`
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