`sqrt ? + 29 = sqrt 2704`

Options

A. 23
B. 529
C. 441
D. 21

Answer

To solve the equation \( \sqrt{x} + 29 = \sqrt{2704} \), we will follow these steps:

### Step 1: Simplify the right side of the equation
First, we need to calculate \( \sqrt{2704} \).

\[ \sqrt{2704} = 52 \]

### Step 2: Rewrite the equation
Now we can rewrite the equation using the value we found:

\[ \sqrt{x} + 29 = 52 \]

### Step 3: Isolate the square root
Next, we will isolate \( \sqrt{x} \) by subtracting 29 from both sides:

\[ \sqrt{x} = 52 - 29 \]

Calculating the right side gives:

\[ \sqrt{x} = 23 \]

### Step 4: Square both sides
To eliminate the square root, we will square both sides of the equation:

\[ x = 23^2 \]

Calculating \( 23^2 \):

\[ x = 529 \]

### Conclusion
Thus, the value of \( x \) (the quotient mark) is:

\[ \boxed{529} \]