The product of any two irrational numbers is(A) always an irrational number(B) always a rational number(C) always an integer

Question

The product of any two irrational numbers is(A) always an irrational number(B) always a rational number(C) always an integer
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Solution 1

The product of two irrational numbers is not always an irrational number. For example, the square root of 2 is an irrational number. However, if you multiply the square root of 2 by itself, you get 2, which is a rational number. Therefore, the statement (A) is incorrect.

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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