Question

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

Answer 1

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

Answer 2

Hi

The following statements are false:

The product of two irrational numbers is rational or irrational, since the product or multiplication of two irrational numbers is always sent as an irrational number.

The sum of a rational number and an irrational number is always rational, since the sum of any rational number and any irrational number will always be an irrational number.

Explanation: