Classify the following numbers as rational or irrational: (i) `sqrt(23)` (ii) `sqrt(225)` (iii) 0.3796 (iv) 7.478478... (v) 1.101001000100001...

Explanation

To classify the given numbers as rational or irrational, we will analyze each number step by step.

### Step 1: Classify `sqrt(23)`
- **Analysis**: The number `sqrt(23)` is the square root of 23. Since 23 is a prime number, it cannot be expressed as a fraction of two integers. Therefore, `sqrt(23)` does not have a terminating or repeating decimal representation.
- **Conclusion**: `sqrt(23)` is an **irrational number**.

### Step 2: Classify `sqrt(225)`
- **Analysis**: The number `sqrt(225)` can be simplified. We can find the prime factorization of 225:
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