The product of a multiplication problem is √225. What do you know about the factors?(1 point)

Question

Responses

They are both rational because the product is rational.
They are both rational because the product is rational.

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.

One factor is rational, but the other is irrational.

Answer 1

To analyze the given multiplication problem where the product is \( \sqrt{225} \):

First, we calculate \( \sqrt{225} \): \[ \sqrt{225} = 15 \]

Since 15 is a rational number, we can consider the implications for the factors of the multiplication problem.

• If the product is rational, both factors could be rational, or it’s possible for one factor to be rational and the other irrational, but we cannot conclude that both must be irrational.

From the information that the product is a rational number (15), we can assert that:

• They are both rational because the product is rational.

Therefore, the correct response is:

They are both rational because the product is rational.