Question

Which of the following statements is false? (5 points)

The sum of two rational numbers is always rational.
The product of a nonzero rational number and an irrational number is always irrational/
The product of two rational numbers is always rational
The sum of two irrational numbers is always rational.

Answer 1

The sum of two rational numbers is always rational

Explanation:

The sum of numbers always terminate and ends.

Answer 2

Explanation:

The sum of two irrational numbers is always still irrational.

5√3 + 6√5 is still going to be irrational. You cannot find two such numbers adding to rational.