If `sqrt(256)div sqrt(x)=2` then `x` is equal to

Options

A. 64
B. 128
C. 512
D. 1024

Answer

To solve the equation \( \frac{\sqrt{256}}{\sqrt{x}} = 2 \), we will follow these steps:

### Step 1: Simplify \( \sqrt{256} \)
First, we need to find the square root of 256.
\[ \sqrt{256} = 16 \]

### Step 2: Rewrite the equation
Now we can rewrite the equation using the value we found:
\[ \frac{16}{\sqrt{x}} = 2 \]

### Step 3: Cross-multiply
Next, we will cross-multiply to eliminate the fraction:
\[ 16 = 2 \cdot \sqrt{x} \]

### Step 4: Isolate \( \sqrt{x} \)
Now, we isolate \( \sqrt{x} \) by dividing both sides by 2:
\[ \sqrt{x} = \frac{16}{2} = 8 \]

### Step 5: Square both sides
To find \( x \), we square both sides of the equation:
\[ x = 8^2 = 64 \]

### Conclusion
Thus, the value of \( x \) is:
\[ \boxed{64} \]

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