Which of the following correctly describes the product of a non-zero rational number and an irrational number? A. always rational B. can be either rational or irrational depending on the rationals used C. a combination of rational and irrational D. always irrational

The product of a non-zero rational number and an irrational number can be either rational or irrational depending on the rationals used. For example, if you multiply the irrational number √2 by the rational number 0, the result is 0, which is a rational number. However, if you multiply √2 by another rational number, say 2, the result is 2√2, which is an irrational number. So, the correct answer is B. can be either rational or irrational depending on the rationals used.