What approximate value will come in place of question mark(?) in the given question ? (You are not expected to calculate the exact value)
`sqrt(22.01xx4+52.02+58xx1.99)=?`

Options

A. 8
B. 14
C. 18
D. 16

Answer

To solve the problem step by step, we need to approximate the values in the expression given:

**Expression:**
\[ \sqrt{22.01 \times 4 + 52.02 + 58 \times 1.99} \]

**Step 1: Approximate each term.**
- For \(22.01 \times 4\), we can approximate \(22.01\) to \(22\).
- For \(52.02\), we can approximate it to \(52\).
- For \(58 \times 1.99\), we can approximate \(1.99\) to \(2\).

**Step 2: Rewrite the expression with approximated values.**
\[ \sqrt{22 \times 4 + 52 + 58 \times 2} \]

**Step 3: Calculate each term.**
- Calculate \(22 \times 4\):
\[ 22 \times 4 = 88 \]

- The second term is \(52\), which remains \(52\).
- Calculate \(58 \times 2\):
\[ 58 \times 2 = 116 \]

**Step 4: Combine the results.**
Now we can add these approximated values together:
\[ 88 + 52 + 116 \]

**Step 5: Perform the addition.**
First, add \(88 + 52\):
\[ 88 + 52 = 140 \]
Now add \(140 + 116\):
\[ 140 + 116 = 256 \]

**Step 6: Take the square root.**
Now we find the square root of \(256\):
\[ \sqrt{256} = 16 \]

Thus, the approximate value that will come in place of the question mark (?) is **16**.

### Summary of Steps:
1. Approximate \(22.01\) to \(22\), \(52.02\) to \(52\), and \(1.99\) to \(2\).
2. Rewrite the expression with these approximations.
3. Calculate \(22 \times 4\), \(58 \times 2\), and keep \(52\) as is.
4. Add the results together.
5. Take the square root of the total.