`(4356)^(1//2)div(11)/(4)=sqrt(?)xx6`

Options

A. 2
B. 4
C. 8
D. 16

Explanation

To solve the equation \( (4356)^{1/2} \div 11 / 4 = \sqrt{?} \times 6 \), we will follow these steps:

### Step 1: Simplify \( (4356)^{1/2} \)
First, we need to find the square root of 4356.

\[ (4356)^{1/2} = \sqrt{4356} \]

### Step 2: Calculate \( \sqrt{4356} \)
We can find that \( \sqrt{4356} = 66 \) because \( 66 \times 66 = 4356 \).

### Step 3: Rewrite the equation
Now we can rewrite the equation using the value we found:

\[ 66 \div 11 \div 4 = \sqrt{?} \times 6 \]

### Step 4: Perform the division
Next, we simplify the left side:

\[ 66 \div 11 = 6 \]

Now, we continue with:

\[ 6 \div 4 = \frac{6}{4} = \frac{3}{2} \]

So now we have:

\[ \frac{3}{2} = \sqrt{?} \times 6 \]

### Step 5: Isolate \( \sqrt{?} \)
To isolate \( \sqrt{?} \), we divide both sides by 6:

\[ \sqrt{?} = \frac{3/2}{6} = \frac{3}{2} \times \frac{1}{6} = \frac{3}{12} = \frac{1}{4} \]

### Step 6: Square both sides
Now, we square both sides to solve for \( ? \):

\[ ? = \left(\frac{1}{4}\right)^2 = \frac{1}{16} \]

### Step 7: Final answer
Thus, the value of \( ? \) is:

\[ ? = 16 \]

### Summary of Steps
1. Find \( \sqrt{4356} = 66 \).
2. Rewrite the equation.
3. Perform the division \( 66 \div 11 = 6 \) and \( 6 \div 4 = \frac{3}{2} \).
4. Isolate \( \sqrt{?} \) by dividing by 6.
5. Square both sides to find \( ? \).