Find the value of :-
(i)` sqrt(4)`
(ii)` sqrt(9)`
(iii)`sqrt(16)`
(iv)sqrt(36)`

Answer

To find the square roots of the given numbers, we can follow these steps:

### Step 1: Calculate \( \sqrt{4} \)
- We can express 4 as \( 2 \times 2 \).
- Since we have a pair of 2s, we can extract one 2 from the pair.
- Therefore, \( \sqrt{4} = 2 \).

### Step 2: Calculate \( \sqrt{9} \)
- We can express 9 as \( 3 \times 3 \).
- Again, we have a pair of 3s, so we can extract one 3 from the pair.
- Thus, \( \sqrt{9} = 3 \).

### Step 3: Calculate \( \sqrt{16} \)
- We can express 16 as \( 4 \times 4 \) or \( 2 \times 2 \times 2 \times 2 \).
- In either case, we have pairs: from \( 4 \times 4 \), we extract 4, or from \( 2 \times 2 \times 2 \times 2 \), we can make two pairs and extract two 2s.
- Hence, \( \sqrt{16} = 4 \).

### Step 4: Calculate \( \sqrt{36} \)
- We can express 36 as \( 6 \times 6 \) or \( 2 \times 2 \times 3 \times 3 \).
- From \( 6 \times 6 \), we can extract one 6, or from \( 2 \times 2 \times 3 \times 3 \), we can make pairs and extract one 2 and one 3, resulting in \( 2 \times 3 = 6 \).
- Therefore, \( \sqrt{36} = 6 \).

### Final Answers:
1. \( \sqrt{4} = 2 \)
2. \( \sqrt{9} = 3 \)
3. \( \sqrt{16} = 4 \)
4. \( \sqrt{36} = 6 \)

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