`sqrt(?)-11=sqrt(1764)`

Options

A. `sqrt(2809)`
B. `(53)^(2)`
C. `sqrt(53)`
D. 53

Explanation

To solve the equation \( \sqrt{x} - 11 = \sqrt{1764} \), we will follow these steps:

### Step 1: Simplify the Right Side
First, we need to simplify \( \sqrt{1764} \). We can find the square root of 1764.

\[ \sqrt{1764} = 42 \]

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

\[ \sqrt{x} - 11 = 42 \]

### Step 3: Isolate \( \sqrt{x} \)
Next, we will isolate \( \sqrt{x} \) by adding 11 to both sides of the equation:

\[ \sqrt{x} = 42 + 11 \]

Calculating the right side:

\[ \sqrt{x} = 53 \]

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

\[ x = 53^2 \]

### Step 5: Calculate \( 53^2 \)
Now we need to calculate \( 53^2 \):

\[ 53^2 = 53 \times 53 = 2809 \]

### Final Answer
Thus, the value of \( x \) is:

\[ \boxed{2809} \]

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