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

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

Jiovanni
Jiovanni

Asia
Asia

None of them are correct.
None of them are correct.

Simon

1 answer

Simon is correct. The product of a non-zero rational number and an irrational number is always irrational. Asia is incorrect because the product is not always zero unless the rational number is specifically zero. Jiovanni is incorrect because the product is not always rational. Thus, the correct answer is Simon.