What will come in place of the question mark (?) in the following questions?
`sqrt (1 cdot 5625) = ?`

Options

A. 125
B. `12 cdot 5`
C. `1 cdot 05`
D. `1 cdot 25`

Answer

To find the value of \( \sqrt{1.5625} \), we can follow these steps:

### Step 1: Understand the Problem
We need to calculate the square root of \( 1.5625 \).

### Step 2: Rewrite the Number
We can express \( 1.5625 \) in a more manageable form. Notice that \( 1.5625 = \frac{15625}{10000} \). This helps us to simplify the square root calculation.

### Step 3: Apply the Square Root Property
Using the property of square roots, we can separate the numerator and denominator:
\[ \sqrt{1.5625} = \sqrt{\frac{15625}{10000}} = \frac{\sqrt{15625}}{\sqrt{10000}} \]

### Step 4: Calculate the Square Roots
Now, we calculate the square roots of the numerator and denominator:
- \( \sqrt{10000} = 100 \)
- \( \sqrt{15625} = 125 \) (since \( 125 \times 125 = 15625 \))

### Step 5: Combine the Results
Now, substituting back into our equation:
\[ \sqrt{1.5625} = \frac{125}{100} = 1.25 \]

### Conclusion
Thus, the value that comes in place of the question mark (?) is:
\[ \sqrt{1.5625} = 1.25 \]

### Final Answer
1.25

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