The product of a multiplication problem is √225 . 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. At least one factor is irrational because the product is irrational. At least one factor is irrational because the product is irrational. 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.

Answer 1

The product of a multiplication problem is \( \sqrt{225} \). First, we can simplify \( \sqrt{225} \):

\[ \sqrt{225} = 15 \]

Since 15 is a rational number, it follows that if the product of two factors is rational, it is possible for both factors to be rational or for one to be rational and the other to be irrational. However, since the product is rational (15), it can be concluded that both factors must be rational.

Thus, the correct response is:

They are both rational because the product is rational.