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.