Question

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)
Responses

an integer
an integer

a perfect square
a perfect square

greater than 1
greater than 1

zero

Answer 1

If a rational number \( r \) and an irrational number \( i \) are multiplied together and the product \( r \times i \) is a rational number, then the rational number \( r \) must be zero. This is because the product of a non-zero rational number and an irrational number is always irrational.

Therefore, the correct response to the question is:

**zero**