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.
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.