Find the square root of the following decimal numbers.(i) 2.56                (ii) 7.29                     (iii) 51.84              (iv) 42.25(v) 31.36

Explanation

To find the square roots of the given decimal numbers using the long division method, we will follow a systematic approach for each number.

### (i) Finding the square root of 2.56

1. **Pair the digits**: Start from the decimal point and pair the digits. For 2.56, we have (2) and (56).
2. **Find the largest square**: The largest perfect square less than or equal to 2 is 1 (since \(1^2 = 1\)). Write 1 above the 2.
3. **Subtract**: \(2 - 1 = 1\).
4. **Bring down the next pair**: Bring down 56, making it 156.
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