Which statement 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 a rational number.
B)The product of a non-zero rational number and an irrational number is never an irrational number.
C)The product of a non-zero rational number and an irrational number is sometimes a rational number.
D)The product of a non-zero rational number and an irrational number is always an irrational number.