(392) / `sqrt?` = 28

Options

A. 144
B. 196
C. 24
D. 48

Answer

To solve the equation \( \frac{392}{\sqrt{x}} = 28 \), we can follow these steps:

### Step 1: Set up the equation
We start with the equation:
\[ \frac{392}{\sqrt{x}} = 28 \]

### Step 2: Multiply both sides by \( \sqrt{x} \)
To eliminate the fraction, we multiply both sides by \( \sqrt{x} \):
\[ 392 = 28 \cdot \sqrt{x} \]

### Step 3: Divide both sides by 28
Next, we divide both sides by 28 to isolate \( \sqrt{x} \):
\[ \sqrt{x} = \frac{392}{28} \]

### Step 4: Simplify the right side
Now we simplify \( \frac{392}{28} \):
\[ \sqrt{x} = 14 \]

### Step 5: Square both sides
To solve for \( x \), we square both sides:
\[ x = 14^2 \]

### Step 6: Calculate \( 14^2 \)
Calculating \( 14^2 \):
\[ x = 196 \]

### Conclusion
Thus, the value of the question mark is:
\[ \text{Question mark} = 196 \]