The product of a multiplication problem is √225

Question

. What do you know about the factors?(1 point)
Responses

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.
They are both rational because the product is rational.
One factor is rational, but the other is irrational.
One factor is rational, but the other is irrational.
At least one factor is irrational because the product is irrational.

Answer 1

The product of a multiplication problem is √225.

First, let's evaluate √225, which equals 15. Since 15 is a rational number, we can determine the nature of the factors:

1. If both factors are rational numbers, their product will also be rational.
2. If one factor is rational and the other is irrational, the product will be irrational.
3. If both factors are irrational, the product can either be rational or irrational depending on the specific values.

However, in this case, since we know the product (15) is rational, it follows that both factors must be rational as well.

Therefore, the correct response is:

They are both rational because the product is rational.