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
an integer
an integer
a perfect square
a perfect square
greater than 1

Answer 1

The product of a rational number and an irrational number is typically irrational. The only exception occurs when the rational number is zero. In that case, the product of zero and any number (including an irrational number) is zero, which is a rational number.

Therefore, if the product of a rational number and an irrational number is a rational number, it must be:

zero.