2) Which two statements are not true?

The product of two irrational numbers is always rational

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

c. The product of two rational numbers is always rational.

d. The product of a rational number (other than zero) and an irrational number is always irrational

e. A repeating decimal is not a rational number.

Grom per

Question

Mathematics

Valeria Dougherty

28 November, 05:08

2) Which two statements are not true?

The product of two irrational numbers is always rational

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

c. The product of two rational numbers is always rational.

d. The product of a rational number (other than zero) and an irrational number is always irrational

e. A repeating decimal is not a rational number.

Grom per

+2

Answers (1)

Know the Answer?

Deegan Greene · Answer 1

A repeating decimal is not a rational number and The product of two irrational numbers is always rational

Step-by-step explanation:

One statement that is not true is "The product of two irrational numbers is always rational". Take for example the irrational numbers √2 and √3. Their product is √6 which is also irrational.

The other false statement is "A repeating decimal is not a rational number". Take for example the repeating decimal 0.33333 ... It can be written as 1/3 which is a rational number.