imon, Asia, and Jiovanni are finding the product of a rational and irrational number.

Question

Simon says the result should be irrational because the product of an irrational and rational number is always irrational.

Asia says the result should be zero because the product of an irrational and rational number is always zero.

Jiovanni says the result should be rational because the product of an irrational and rational number is always rational.

Who is correct?

(1 point)

Responses

Asia

Asia

None of them are correct.

None of them are correct.

Jiovanni

Jiovanni

Simon

Simon

Check answerRemaining Attempts : 3

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Answer 1

Simon is correct. The product of a rational number and an irrational number is always irrational, except in the case where the rational number is zero. In that specific case, the product would be zero.

To summarize:

• If the rational number is not zero, the result will be irrational.
• If the rational number is zero, the result will be zero.

Since Simon's statement about the product being irrational (assuming the rational number is not zero) aligns with the fact, he is the correct answer.

Thus, the answer is: Simon.