`94.95xx13.03+sqrt(35.98)xx14.99=53xxsqrt(?)`

Options

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

Explanation

To solve the equation \( 94.95 \times 13.03 + \sqrt{35.98} \times 14.99 = 53 \times \sqrt{?} \), we will follow these steps:

### Step 1: Calculate \( 94.95 \times 13.03 \)

First, we multiply \( 94.95 \) by \( 13.03 \):

\[ 94.95 \times 13.03 = 1235.8485 \]

### Step 2: Calculate \( \sqrt{35.98} \)

Next, we need to find the square root of \( 35.98 \):

\[ \sqrt{35.98} \approx 5.99 \]

### Step 3: Calculate \( \sqrt{35.98} \times 14.99 \)

Now, we multiply the result of the square root by \( 14.99 \):

\[ 5.99 \times 14.99 \approx 89.85 \]

### Step 4: Add the results from Step 1 and Step 3

Now we add the two results together:

\[ 1235.8485 + 89.85 \approx 1325.6985 \]

### Step 5: Set up the equation

Now we set up the equation based on the original question:

\[ 1325.6985 = 53 \times \sqrt{?} \]

### Step 6: Solve for \( \sqrt{?} \)

To find \( \sqrt{?} \), we divide both sides by \( 53 \):

\[ \sqrt{?} = \frac{1325.6985}{53} \approx 25 \]

### Step 7: Square both sides to find \( ? \)

Now we square both sides to find \( ? \):

\[ ? = 25^2 = 625 \]

### Final Answer

Thus, the value of \( ? \) is \( 625 \).

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