What should come in place of the question mark (?) in the following questions ?
`sqrt(?) + 22 = sqrt(2601)`

Options

A. `sqrt(841)`
B. `(841)^(2)`
C. `sqrt(22)`
D. None of these

Answer

To solve the equation \( \sqrt{?} + 22 = \sqrt{2601} \), we will follow these steps:

### Step 1: Calculate \( \sqrt{2601} \)
First, we need to find the value of \( \sqrt{2601} \).

\[ \sqrt{2601} = 51 \]

### Step 2: Substitute the value into the equation
Now we can substitute this value back into the equation:

\[ \sqrt{?} + 22 = 51 \]

### Step 3: Isolate \( \sqrt{?} \)
Next, we will isolate \( \sqrt{?} \) by subtracting 22 from both sides:

\[ \sqrt{?} = 51 - 22 \]

Calculating the right side gives:

\[ \sqrt{?} = 29 \]

### Step 4: Square both sides
To find the value of \( ? \), we square both sides of the equation:

\[ ? = 29^2 \]

### Step 5: Calculate \( 29^2 \)
Now we calculate \( 29^2 \):

\[ 29^2 = 841 \]

### Conclusion
Thus, the value that should come in place of the question mark is:

\[ ? = 841 \]

### Final Answer
The answer is \( 841 \).

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