What well Centre in place of the question mark (?) in the following questions?
`84 xx 13 +2 -17 = (?)^2`

Options

A. `sqrt(19)`
B. `361`
C. `sqrt(23)`
D. `-23`

Answer

To solve the equation \( 84 \times 13 + 2 - 17 = (?)^2 \), we will follow the order of operations (BODMAS/BIDMAS).

### Step 1: Solve the left-hand side expression
The expression on the left-hand side is \( 84 \times 13 + 2 - 17 \).

### Step 2: Calculate \( 84 \times 13 \)
First, we need to perform the multiplication:
\[ 84 \times 13 = 1092 \]

### Step 3: Add 2 to the result
Next, we add 2:
\[ 1092 + 2 = 1094 \]

### Step 4: Subtract 17 from the result
Now, we subtract 17:
\[ 1094 - 17 = 1077 \]

### Step 5: Set the left-hand side equal to the right-hand side
Now we have:
\[ 1077 = (?)^2 \]

### Step 6: Solve for the question mark
To find the value of the question mark, we take the square root of both sides:
\[ ? = \sqrt{1077} \]

### Step 7: Calculate the square root
Calculating the square root, we find:
\[ ? \approx 32.8 \]

### Final Answer
Thus, the value that will replace the question mark is approximately \( 32.8 \).

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