Answer
$\pi$ is a real number but is not a rational number.
Work Step by Step
Rational numbers are the numbers that can be expressed as a quotient of two integers.
Thus, a number that cannot be expressed as a quotient of two integers is not a rational number. Such a number is called an irrational number.
The number $\pi$ is not a rational number as it cannot be expressed as a quotient of two integers.
$\pi = 3.14159265359...$
Thus, one example of a real number that is not a rational number is $\pi$.
