if the product of p x q x r is an irrational number, and p is a rational number, which of the following statements can be said about q and r?

Answer Choices:

Only q can be irrational.

Both q and r must be irrational.

Both q and r may be irrational.

r may be rational if q is irrational.

Both q and r must be rational.

1 answer

The correct answer is: Both q and r may be irrational.

If the product p x q x r is an irrational number, and p is a rational number, it means that the product of q x r is also irrational.

In this case, either q, r, or both q and r can be irrational. It is possible that both q and r are irrational, as well as the possibility that only one of them is irrational. Therefore, the statement "Both q and r may be irrational" is the correct answer.
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