What approximate value should come in place of the question mark (?) in the following questions?
(Note: You are not expected to calculate the exact value.)
`94.95xx13.03+sqrt(35.98)xx14.99=53xxsqrt?`

Options

A. 25
B. 144
C. 225
D. 625

Answer

To solve the equation \( 94.95 \times 13.03 + \sqrt{35.98} \times 14.99 = 53 \times \sqrt{?} \), we will approximate the values step by step.

### Step 1: Approximate the values
- Approximate \( 94.95 \) to \( 95 \).
- Approximate \( 13.03 \) to \( 13 \).
- Approximate \( 35.98 \) to \( 36 \).
- Approximate \( 14.99 \) to \( 15 \).

### Step 2: Rewrite the equation with approximations
Now we can rewrite the equation using these approximations:
\[ 95 \times 13 + \sqrt{36} \times 15 = 53 \times \sqrt{?} \]

### Step 3: Calculate the left-hand side
Calculate \( 95 \times 13 \):
\[ 95 \times 13 = 1235 \]
Calculate \( \sqrt{36} \):
\[ \sqrt{36} = 6 \]
Now calculate \( 6 \times 15 \):
\[ 6 \times 15 = 90 \]
Now add these two results:
\[ 1235 + 90 = 1325 \]

### Step 4: Set up the equation
Now we have:
\[ 1325 = 53 \times \sqrt{?} \]

### Step 5: Solve for \( \sqrt{?} \)
To isolate \( \sqrt{?} \), divide both sides by \( 53 \):
\[ \sqrt{?} = \frac{1325}{53} \]

### Step 6: Approximate \( \frac{1325}{53} \)
Now we need to approximate \( \frac{1325}{53} \).
Calculating this gives approximately:
\[ \frac{1325}{53} \approx 25 \]

### Step 7: Square both sides to find \( ? \)
Now square both sides to find \( ? \):
\[ ? = 25^2 = 625 \]

### Final Answer
Thus, the approximate value that should come in place of the question mark (?) is:
\[ \boxed{625} \]