`{sqrt(7744)xx(11)^(2)}div(2)^(3)=(?)^(3)`

Options

A. 7
B. 9
C. 11
D. 13

Explanation

To solve the equation \(\frac{\sqrt{7744} \times (11)^2}{(2)^3} = (?)^3\), we will follow these steps:

### Step 1: Calculate \(\sqrt{7744}\)

First, we need to find the square root of 7744.

\[ \sqrt{7744} = 88 \]

### Step 2: Calculate \((11)^2\)

Next, we calculate \(11\) squared.

\[ (11)^2 = 121 \]

### Step 3: Substitute the values into the equation

Now we substitute the values we found into the equation:

\[ \frac{88 \times 121}{(2)^3} \]

### Step 4: Calculate \((2)^3\)

Now we calculate \(2\) cubed.

\[ (2)^3 = 8 \]

### Step 5: Substitute and simplify

Now we substitute \(8\) back into the equation:

\[ \frac{88 \times 121}{8} \]

### Step 6: Calculate \(88 \times 121\)

Now we calculate \(88 \times 121\):

\[ 88 \times 121 = 10648 \]

### Step 7: Divide by \(8\)

Now we divide \(10648\) by \(8\):

\[ \frac{10648}{8} = 1331 \]

### Step 8: Set the equation equal to \(x^3\)

Now we have:

\[ 1331 = x^3 \]

### Step 9: Find \(x\)

To find \(x\), we take the cube root of \(1331\):

\[ x = \sqrt[3]{1331} = 11 \]

### Final Answer

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

\[ \boxed{11} \]

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