`sqrt(?)-12=sqrt(1296)`

Options

A. `sqrt(2304)`
B. `(48)^(2)`
C. `sqrt(48)`
D. 48

Explanation

To solve the equation \( \sqrt{x} - 12 = \sqrt{1296} \), we will follow these steps:

### Step 1: Simplify the right side of the equation
First, we need to simplify \( \sqrt{1296} \).

We know that:
\[ 1296 = 36 \times 36 \]
Thus,
\[ \sqrt{1296} = 36 \]

### Step 2: Rewrite the equation
Now we can rewrite the original equation with the simplified value:
\[ \sqrt{x} - 12 = 36 \]

### Step 3: Isolate \( \sqrt{x} \)
Next, we will isolate \( \sqrt{x} \) by adding 12 to both sides of the equation:
\[ \sqrt{x} = 36 + 12 \]
\[ \sqrt{x} = 48 \]

### Step 4: Square both sides
To eliminate the square root, we will square both sides of the equation:
\[ (\sqrt{x})^2 = 48^2 \]
\[ x = 2304 \]

### Step 5: Conclusion
Thus, the value of \( x \) is:
\[ \boxed{2304} \]

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