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.

1 Answer

Answer:

The second one is false.

Explanation:

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

For example, take #sqrt2 +1#, we don't know what #sqrt2# is, so we can't know what #1# more than it is.

This rule applies to any and every irrational.