What approximate value will come in place of question mark (?) in the given questions? (You are not expected to calculate the exact value.)
`sqrt(3099.85div62.001+14.001)=?`

Options

A. 7
B. 8
C. 6
D. 9

Answer

To solve the problem, we need to approximate the value of the expression given:

\[ \sqrt{\frac{3099.85}{62.001} + 14.001} = ? \]

### Step 1: Approximate the values
First, we can round the numbers to make the calculations easier.

- Round \( 3099.85 \) to \( 3100 \).
- Round \( 62.001 \) to \( 62 \).
- Round \( 14.001 \) to \( 14 \).

So, we rewrite the expression as:

\[ \sqrt{\frac{3100}{62} + 14} \]

### Step 2: Calculate the division
Now, we need to perform the division \( \frac{3100}{62} \).

To simplify, we can calculate:

\[ \frac{3100}{62} \approx 50 \]

This is because \( 62 \times 50 = 3100 \).

### Step 3: Add the constant
Now, we add \( 14 \) to the result from the division:

\[ 50 + 14 = 64 \]

### Step 4: Take the square root
Next, we take the square root of \( 64 \):

\[ \sqrt{64} = 8 \]

### Conclusion
Thus, the approximate value of the expression is:

\[ ? \approx 8 \]

### Final Answer
The answer is \( 8 \).

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