`sqrt(?)+28=sqrt(1681)`

Options

A. 13
B. 225
C. 216
D. 169

Answer

To solve the equation \( \sqrt{x} + 28 = \sqrt{1681} \), we can follow these steps:

### Step 1: Simplify the Right Side
First, we need to calculate \( \sqrt{1681} \).

\[ \sqrt{1681} = 41 \]

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

\[ \sqrt{x} + 28 = 41 \]

### Step 3: Isolate \( \sqrt{x} \)
Next, we will isolate \( \sqrt{x} \) by subtracting 28 from both sides:

\[ \sqrt{x} = 41 - 28 \]

Calculating the right side gives:

\[ \sqrt{x} = 13 \]

### Step 4: Square Both Sides
To find \( x \), we square both sides of the equation:

\[ x = 13^2 \]

Calculating \( 13^2 \):

\[ x = 169 \]

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

\[ \boxed{169} \]

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