`22^(2)+sqrt(?)=516`

Options

A. 1028
B. 1024
C. 1124
D. 1128

Answer

To solve the equation \( 22^2 + \sqrt{?} = 516 \), we will follow these steps:

### Step 1: Calculate \( 22^2 \)
First, we need to calculate \( 22^2 \):
\[ 22^2 = 484 \]

### Step 2: Substitute \( 22^2 \) into the equation
Now we substitute \( 22^2 \) back into the equation:
\[ 484 + \sqrt{?} = 516 \]

### Step 3: Isolate \( \sqrt{?} \)
Next, we isolate \( \sqrt{?} \) by subtracting \( 484 \) from both sides:
\[ \sqrt{?} = 516 - 484 \]
\[ \sqrt{?} = 32 \]

### Step 4: Square both sides
Now, we square both sides to eliminate the square root:
\[ ? = 32^2 \]
\[ ? = 1024 \]

### Conclusion
Thus, the value of \( ? \) is \( 1024 \).