228k views
2 votes
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.

User Agustin
by
8.9k points

2 Answers

6 votes
"The sum of a rational number and an irrational number is always rational."
User Jpschroeder
by
8.5k points
2 votes

Answer:

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:

User Auroranil
by
8.0k points