Final answer:
The product of a rational number (a/b) and an irrational number (c) will generally be an irrational number, since the multiplication by any non-zero rational number cannot result in a rational if started with an irrational.
Step-by-step explanation:
If a and b are integers and c is an irrational number, the product of a/b × c will generally be an irrational number. This is because any non-zero integer or rational number multiplied by an irrational number results in an irrational number. The key reason is that irrational numbers cannot be expressed as the quotient of two integers, and multiplying by a rational number (here a/b, assuming b is not zero) cannot impose a ratio that wasn't there to begin with.