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Irrational Numbers|Examples|OMR

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.Let a be a rational number and b be an irrational number. Is ab necessarily an irrational number? Justify your answer with an example.

Which of the following is a correct statement? Sum of two irrational numbers is always irrational Sum of a rational and irrational number is always an irrational number Square of an irrational number is always an irrational number Square of an irrational number is always a rational number Sum of two rational numbers can never be an integer