Define a rational number and an irrational number, giving one example of each.

A rational number can be written as p/q where p and q are integers and q is not zero; 3/4 is an example. An irrational number cannot be written in that form; √2 is an example.

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Explanation

The decimal expansion of a rational number either terminates or recurs, while that of an irrational number neither terminates nor recurs.