What approximate value will come in place of the question mark (?) in the following question?
`(16.0 1^(2) + root(3) (342.98 )+1)/(6. 0 1) = ?`

Options

A. 44
B. 41
C. 52
D. 38

Answer

To solve the equation \((16.01^2 + \sqrt[3]{342.98} + 1) / (6.01) = ?\), we will break it down step by step.

### Step 1: Calculate \(16.01^2\)
To find \(16.01^2\), we can use the approximation:
\[ 16.01^2 \approx 16^2 = 256 \]

### Step 2: Calculate \(\sqrt[3]{342.98}\)
Next, we need to find the cube root of \(342.98\). We can approximate:
\[ \sqrt[3]{342.98} \approx \sqrt[3]{343} = 7 \]
since \(7^3 = 343\).

### Step 3: Add the values from Step 1 and Step 2, and include the additional 1
Now we add the results from the previous steps:
\[ 256 + 7 + 1 = 264 \]

### Step 4: Divide by \(6.01\)
Now we will divide \(264\) by \(6.01\). We can approximate \(6.01\) as \(6\):
\[ \frac{264}{6} = 44 \]

### Final Answer
Thus, the approximate value that will come in place of the question mark (?) is:
\[ \boxed{44} \]