A rational number and an irrational number are multiplied together. The product is a rational number. What type of rational number must the product be?(1 point)

Question

Responses

zero
zero

a perfect square
a perfect square

greater than 1
greater than 1

an integer

Answer 1

If a rational number and an irrational number are multiplied together, the product cannot be a rational number unless the rational number is zero. This is because multiplying any non-zero rational number by an irrational number will always yield an irrational number.

Therefore, the only rational number that the product could be is:

zero.