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
None of them are correct.
None of them are correct.
Jiovanni
Jiovanni
Asia
Asia
Simon
1 answer
None of them are 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, which is rational. Therefore, Simon's statement is partially correct but doesn't account for the case when the rational number is zero, Asia's statement is only true if the rational number is zero, and Jiovanni is incorrect because the product is not always rational.
