Question

"The product or quotient of a non zero rational number with an irrational number is irrational." Prove that the statement is correct.

Answer 1

Answer:

If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational. A better statement would be: "The product of a non-zero rational number and an irrational number is irrational."

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Answer 2

Answer:

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