Question

Which of the following statements is false?

A).The sum of two rational numbers is always rational.
B).The sum of a rational number and an irrational number is always rational.
C).The product of a nonzero rational number and an irrational number is always irrational.
D).The product of two irrational numbers is either rational or irrational.

Answer 1

 B is false.  We know it can't be D, because that is a true statement.  C is also true.  Leaves A or B.