Question

Which of the following statements is false?

a. The product of two rational numbers is always irrational.
b. The sum of a rational number and an irrational number is always irrational.
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 because if two numbers are rational they will always multiply to a rational number.