Which of the following correctly defines the term irrational number?

Question

(1 point)
any of the rational numbers as well as their negative opposites
the square root of any number
a number that includes a repeating decimal
a number that cannot be obtained by the division of two integers

Answer 1

The correct definition of an irrational number is: a number that cannot be obtained by the division of two integers.

Irrational numbers cannot be expressed as a fraction of two integers, which means they cannot be written as \( \frac{p}{q} \) where \( p \) and \( q \) are integers and \( q \) is not zero. Examples of irrational numbers include the square root of any prime number, \(\pi\), and \(e\).