Simon, 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

Simon
Simon
None of them are correct.
None of them are correct.
Asia
Asia
Jiovanni

Answer 1

Simon is correct. The product of a non-zero rational number and an irrational number is always irrational. If the rational number is zero, then the product would be zero. Therefore, unless specified that the rational number is zero, Simon's assertion stands valid. So, the most correct answer in general case is:

Simon