Examine, whether the following numbers are rational or irrational: `sqrt(7)` (ii) `sqrt(4)` (iii) `2+sqrt(3)`

Explanation

To determine whether the given numbers are rational or irrational, we will analyze each one step by step.

### Step 1: Examine `sqrt(7)`

1. **Definition of Rational and Irrational Numbers**: A rational number can be expressed in the form \( \frac{p}{q} \) where \( q \neq 0 \). An irrational number cannot be expressed in this form and typically has a non-terminating, non-repeating decimal expansion.

2. **Evaluate `sqrt(7)`**: The square root of 7 is not a perfect square. Therefore, it cannot be expressed as a fraction of two integers.

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