What will come in the place of question mark in following questions.
`(13)^(2) + 206 + (5)^(2) = (?)^(2)`

Options

A. 10
B. 20
C. 30
D. 40

Answer

To solve the equation \( (13)^2 + 206 + (5)^2 = (?)^2 \), we will follow these steps:

### Step 1: Calculate \( (13)^2 \)
\[ (13)^2 = 169 \]

### Step 2: Calculate \( (5)^2 \)
\[ (5)^2 = 25 \]

### Step 3: Add the results from Step 1 and Step 2 to 206
\[ 169 + 206 + 25 \]

### Step 4: Perform the addition
First, add \( 169 \) and \( 206 \):
\[ 169 + 206 = 375 \]
Now, add \( 25 \):
\[ 375 + 25 = 400 \]

### Step 5: Set the equation
Now we have:
\[ 400 = (?)^2 \]

### Step 6: Solve for \( ? \)
To find \( ? \), we take the square root of both sides:
\[ ? = \sqrt{400} \]
\[ ? = 20 \]

Thus, the value that will come in place of the question mark is \( 20 \).

### Final Answer
The answer is \( 20 \).

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