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Question

Which of the following statements is true?
(a) Product of two irrational numbers is always irrational
(b) Product of a rational and an irrational number is always irrational
(c) Sum of two irrational numbers can never be irrational
(d) Sum of an integer and a rational number can never be an integer

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Solution

Since we know that the product of rational and irrational number is always an irrational. For example: Let are rational and irrational numbers respectively and their product is

Hence the correct option is.


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