`1872/sqrt(?)=234`

Options

A. 324
B. 64
C. 8
D. 256

Answer

To solve the equation \( \frac{1872}{\sqrt{x}} = 234 \), we will follow these steps:

### Step 1: Isolate the square root
We start by isolating \( \sqrt{x} \) on one side of the equation. To do this, we can multiply both sides of the equation by \( \sqrt{x} \):

\[ 1872 = 234 \cdot \sqrt{x} \]

### Step 2: Divide both sides by 234
Next, we divide both sides by 234 to solve for \( \sqrt{x} \):

\[ \sqrt{x} = \frac{1872}{234} \]

### Step 3: Calculate \( \frac{1872}{234} \)
Now we need to perform the division:

\[ \sqrt{x} = 8 \]

### Step 4: Square both sides
To find \( x \), we square both sides of the equation:

\[ x = 8^2 \]

### Step 5: Calculate \( 8^2 \)
Calculating \( 8^2 \):

\[ x = 64 \]

### Final Answer
Thus, the value of the question mark is:

\[ \boxed{64} \]

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