Evaluate:
`sqrt (1444)`

Options

A. 38
B. 32
C. 33
D. 34

Answer

To evaluate \( \sqrt{1444} \), we can use the long division method. Here are the steps:

### Step-by-Step Solution:

1. **Pair the digits**: Start from the right and pair the digits of the number. For \( 1444 \), we can pair it as \( 14 \) and \( 44 \).

2. **Find the largest square**: Look for the largest square number less than or equal to the first pair (14). The largest square is \( 3^2 = 9 \).

3. **Subtract and bring down**: Subtract \( 9 \) from \( 14 \):
\[ 14 - 9 = 5 \]
Now bring down the next pair (44) next to 5, making it 544.

4. **Double the quotient**: The current quotient is 3. Double it to get \( 6 \).

5. **Find the next digit**: Now, we need to find a digit \( x \) such that \( (60 + x) \times x \) is less than or equal to 544.
- Start with \( x = 8 \):
\[ (60 + 8) \times 8 = 68 \times 8 = 544 \]
This works perfectly.

6. **Final calculation**: Now, we have found that \( \sqrt{1444} = 38 \) since we added the digits \( 3 \) and \( 8 \) together.

### Conclusion:
Thus, \( \sqrt{1444} = 38 \).

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