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
zero
zero
an integer
an integer
a perfect square
a perfect square
greater than 1
Responses
zero
zero
an integer
an integer
a perfect square
a perfect square
greater than 1
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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.**
Therefore, if the product of a rational number and an irrational number is a rational number, it must be:
**zero.**
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