Question

Which statement explains why 12
is an irrational number?
12 is an irrational number because it cannot be simplified.
12 is an irrational number because it is a repeating decimal.
12is an irrational number because it is a terminating decimal.
12is an irrational number because it is a nonterminating, nonrepeating decimal.

Answer 1

The correct statement is:

**None of the provided statements accurately explain why 12 is an irrational number.**

In fact, 12 is not an irrational number; it is a **rational number** because it can be expressed as the fraction 12/1, and it can be represented as a terminating decimal (12.0).

Irrational numbers are numbers that cannot be expressed as a fraction of two integers and have nonterminating, nonrepeating decimal expansions, such as π (pi) and √2.