Question

Which of the following statements is false?

The sum of two rational numbers is always rational.

The sum of a rational number and an irrational number is always rational.

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

The sum of a rational number and an irrational number is always rational

Explanation:

For example, 2+π = an irrational number.

Answer 2

The sum of a rational number and an irrational number is always rational is false.
For example, 2+π = an irrational number.