What approximate value will come in place of question mark (?) in the following question ?
`352.04-(?-sqrt(4220))=2^8`

Options

A. 201
B. 151
C. 161
D. 171

Answer

To solve the equation \( 352.04 - (? - \sqrt{4220}) = 2^8 \), we can follow these steps:

### Step 1: Simplify the equation
We start with the equation:
\[ 352.04 - (? - \sqrt{4220}) = 256 \]
where \( 2^8 = 256 \).

### Step 2: Rearrange the equation
Rearranging gives us:
\[ 352.04 - ? + \sqrt{4220} = 256 \]
This can be rewritten as:
\[ \sqrt{4220} = 256 + ? - 352.04 \]
Thus,
\[ ? = 352.04 - 256 + \sqrt{4220} \]

### Step 3: Calculate \(\sqrt{4220}\)
To find \(\sqrt{4220}\), we can approximate it. We know:
\[ \sqrt{4225} = 65 \quad \text{(since \(65^2 = 4225\))} \]
Since \(4220\) is slightly less than \(4225\), we can estimate:
\[ \sqrt{4220} \approx 65 \]

### Step 4: Substitute the approximation back into the equation
Now substituting back into the equation:
\[ ? = 352.04 - 256 + 65 \]

### Step 5: Perform the calculations
Calculating the right side:
\[ ? = 352.04 - 256 + 65 \]
\[ ? = 352.04 - 256 = 96.04 \]
\[ ? = 96.04 + 65 = 161.04 \]

### Step 6: Round to the nearest whole number
Since we are looking for an approximate value, we can round \(161.04\) to \(161\).

### Final Answer
Thus, the approximate value that will come in place of the question mark (?) is:
\[ \boxed{161} \]