What approximate value will come in place of the question mark(?) in the given questions? (You are not expected to calculate exact value)
`sqrt1224-sqrt?=16.03-8.97`

Options

A. 576
B. 676
C. 784
D. 841

Answer

To solve the equation \( \sqrt{1224} - \sqrt{?} = 16.03 - 8.97 \), we will follow these steps:

### Step 1: Simplify the right side of the equation
First, we need to calculate the right side of the equation:

\[ 16.03 - 8.97 \approx 16 - 9 = 7 \]

### Step 2: Rewrite the equation
Now, we can rewrite the equation with the simplified right side:

\[ \sqrt{1224} - \sqrt{?} = 7 \]

### Step 3: Isolate \( \sqrt{?} \)
Next, we will isolate \( \sqrt{?} \):

\[ \sqrt{?} = \sqrt{1224} - 7 \]

### Step 4: Approximate \( \sqrt{1224} \)
To find \( \sqrt{1224} \), we can approximate it. We know that \( \sqrt{1225} = 35 \), so we can say:

\[ \sqrt{1224} \approx 35 \]

### Step 5: Substitute the approximation back into the equation
Now we substitute this approximation back into our equation:

\[ \sqrt{?} \approx 35 - 7 = 28 \]

### Step 6: Square both sides to find \( ? \)
Now we square both sides to find the value of \( ? \):

\[ ? \approx 28^2 = 784 \]

### Conclusion
Thus, the approximate value that will come in place of the question mark (?) is:

\[ \boxed{784} \]