Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.

Explanation

To determine whether the square roots of all positive integers are irrational, we can follow these steps:

### Step 1: Understand the question
We need to investigate if the square roots of all positive integers are irrational numbers.

### Step 2: Define rational and irrational numbers
- A **rational number** is any number that can be expressed as the quotient of two integers (a fraction) where the denominator is not zero.
- An **irrational number** cannot be expressed as a simple fraction; it has non-repeating, non-terminating decimal expansions.
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