`7365+(5.4)^(2)+sqrt(?)=7437.16`

Options

A. 1894
B. 1681
C. 1764
D. None of these

Explanation

To solve the equation \( 7365 + (5.4)^2 + \sqrt{?} = 7437.16 \), we will follow these steps:

### Step 1: Calculate \( (5.4)^2 \)
First, we need to find the square of \( 5.4 \):
\[ (5.4)^2 = 5.4 \times 5.4 = 29.16 \]

### Step 2: Substitute the value back into the equation
Now, substitute \( (5.4)^2 \) back into the original equation:
\[ 7365 + 29.16 + \sqrt{?} = 7437.16 \]

### Step 3: Combine the constants
Next, we add \( 7365 \) and \( 29.16 \):
\[ 7365 + 29.16 = 7394.16 \]
So, the equation now looks like:
\[ 7394.16 + \sqrt{?} = 7437.16 \]

### Step 4: Isolate \( \sqrt{?} \)
Now, we need to isolate \( \sqrt{?} \) by subtracting \( 7394.16 \) from both sides:
\[ \sqrt{?} = 7437.16 - 7394.16 \]

### Step 5: Calculate the right side
Now, perform the subtraction:
\[ \sqrt{?} = 43 \]

### Step 6: Square both sides to find \( ? \)
To find \( ? \), we square both sides:
\[ ? = 43^2 = 1849 \]

### Final Answer
Thus, the value of \( ? \) is:
\[ \boxed{1849} \]

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