Question

Which statement is NOT always true?

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

Answer 1

B. The product of two irrational numbers if rational

Example: The square root of 2 times the square root of 3, is the square root of 6, which is still irrational.