Question

Which of the following statements is false?
The product of two rational numbers is always irrational.
The sum of a rational number and an irrational number is always irrational.
The product of a nonzero rational number and an irrational number is always irrational.
The product of two irrational numbers is either rational or irrational.

Answer 1

\[\frac{1}{2}\times\frac{1}{3}=\frac{1}{6}\]

Answer 2

@Zarkon what does that mean

Answer 3

i took two rational numbers and multiplied them together to get another rational number

Answer 4

that should answer your original question