# Which of the following statements is false?

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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.

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

Jun 7, 2017

#### Answer:

The second one is **false**.

#### Explanation:

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

For example, take

This rule applies to any and every irrational.