Which of the following numbers is irrational? A. 0.3333... B. 0.2468 C. 3 D. \( \sqrt{2} \)

To determine which of the given numbers is irrational, let's analyze each option: A. \( 0.3333... \) - This is a repeating decimal, which can be expressed as the fraction \( \frac{1}{3} \). Since it can be represented as a fraction of two integers, it is a rational number. B. \( 0.2468 \) - This is a terminating decimal, which can also be expressed as a fraction (for example, \( \frac{2468}{10000} \)). Therefore, it is a rational number. C. \( 3 \) - This is an integer and can be expressed as \( \frac{3}{1} \). Thus, it is a rational number. D. \( \sqrt{2} \) - This number cannot be expressed as a fraction of two integers. It is known to be an irrational number. Based on this analysis, the irrational number among the options is: **D. \( \sqrt{2} \)**.