What will come in place of the question mark (?) in the following questions ?
`1246+(256)^(1//4)=?^2+226`

Options

A. 16
B. 24
C. 32
D. 8

Answer

To solve the equation \( 1246 + (256)^{1/4} = ?^2 + 226 \), we will follow these steps:

### Step 1: Calculate \( (256)^{1/4} \)
First, we need to simplify \( (256)^{1/4} \).

Since \( 256 = 4^4 \), we can write:
\[ (256)^{1/4} = (4^4)^{1/4} = 4 \]

### Step 2: Substitute back into the equation
Now we can substitute \( 4 \) back into the equation:
\[ 1246 + 4 = ?^2 + 226 \]

### Step 3: Simplify the left side
Now, we simplify the left side:
\[ 1246 + 4 = 1250 \]
So, we have:
\[ 1250 = ?^2 + 226 \]

### Step 4: Isolate \( ?^2 \)
Next, we isolate \( ?^2 \) by subtracting \( 226 \) from both sides:
\[ ?^2 = 1250 - 226 \]

### Step 5: Calculate \( 1250 - 226 \)
Now we perform the subtraction:
\[ 1250 - 226 = 1024 \]
Thus, we have:
\[ ?^2 = 1024 \]

### Step 6: Solve for \( ? \)
To find \( ? \), we take the square root of both sides:
\[ ? = \sqrt{1024} \]

### Step 7: Calculate \( \sqrt{1024} \)
The square root of \( 1024 \) is:
\[ ? = 32 \]

### Final Answer
Therefore, the value that comes in place of the question mark (?) is:
\[ \boxed{32} \]

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