What do you know about the factors?(1 point)
Responses
At least one factor is irrational because the product is irrational.
At least one factor is irrational because the product is irrational.
One factor is rational, but the other is irrational.
One factor is rational, but the other is irrational.
It cannot be predicted based on the information given.
It cannot be predicted based on the information given.
They are both rational because the product is rational.
1 answer
The correct response is:
They are both rational because the product is rational.
The product given is \( \sqrt{225} \), which equals 15, a rational number. Since the product of two numbers is rational, it is indeed possible for both factors involved in the multiplication to also be rational numbers. Hence, if the product is rational, both factors can be rational as well.
