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
Asia
Asia
Jiovanni
Jiovanni
None of them are correct.
1 answer
Simon is correct. The product of a non-zero rational number and an irrational number is always irrational. Asia is incorrect because while the product can be zero if the rational number is zero, that's not always the case. Jiovanni is incorrect as well since the product is not guaranteed to be rational.
So, the correct answer is: Simon.
