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Which of the following is an irrational number?

  1. 0

  2. 1

  3. pi

  4. 3

The correct answer is: pi

An irrational number is a number that cannot be expressed as a ratio of two integers. This means that it cannot be written as a simple fraction or a decimal that repeats or terminates. In the given options, 0, 1, and 3 can all be written as simple fractions (0/1, 1/1, and 3/1 respectively) and they all have terminating decimal representations (0.0, 1.0, and 3.0 respectively). Pi, on the other hand, is a non-terminating, non-repeating decimal and therefore cannot be written as a simple fraction. Thus, pi is the only irrational number among the given options.