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

A is false. 1/2 is rational, and 1/2 * 1/2=1/4

Since 1/4 is rational, it disproves A's statement, making it false.

Answer 2

Thank You Instant Medal and Fan!

Answer 3

Anytime!