Which of the following statements is true about the product of a non-zero rational number and an irrational number?
A.
The product of a non-zero rational number and an irrational number is always an irrational number.
B.
The product of a non-zero rational number and an irrational number is sometimes a rational number.
C.
The product of a non-zero rational number and an irrational number is never an irrational number.
D.
The product of a non-zero rational number and an irrational number is always a rational number.
