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The product of a multiplication problem is 225−−−√

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

One factor is rational, but the other is irrational.
One factor is rational, but the other is irrational.

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.

At least one factor is irrational because the product is irrational.

At least one factor is irrational because the product is irrational. To understand why, let's break down the problem. The square root of 225 is 15 since 15 multiplied by itself equals 225. So, we can rewrite the multiplication problem as x * 15 = 225. To find the factors, we need to divide 225 by 15, which gives us x = 15. Both factors are therefore rational, as they can be expressed as integers. However, in the original problem, the product is the square root of 225, which is irrational. This tells us that at least one of the factors must be irrational, making the correct response: "At least one factor is irrational because the product is irrational."