`(96xxsqrt49)/sqrt196=8xxsqrt?`

Options

A. 36
B. 6
C. `36^2`
D. 16

Answer

To solve the equation \((96 \times \sqrt{49}) / \sqrt{196} = 8 \times \sqrt{?}\), we will follow these steps:

### Step 1: Simplify the square roots
First, we need to simplify the square roots in the expression.

\[ \sqrt{49} = 7 \]
\[ \sqrt{196} = 14 \]

### Step 2: Substitute the simplified values
Now we can substitute these values back into the equation:

\[ (96 \times 7) / 14 = 8 \times \sqrt{?} \]

### Step 3: Calculate the left side of the equation
Next, we calculate the left side:

\[ 96 \times 7 = 672 \]
Now divide by 14:

\[ 672 / 14 = 48 \]

So, we have:

\[ 48 = 8 \times \sqrt{?} \]

### Step 4: Isolate \(\sqrt{?}\)
Now, we need to isolate \(\sqrt{?}\) by dividing both sides by 8:

\[ \sqrt{?} = 48 / 8 \]
\[ \sqrt{?} = 6 \]

### Step 5: Square both sides to find ?
To find the value inside the square root, we square both sides:

\[ ? = 6^2 \]
\[ ? = 36 \]

### Conclusion
Thus, the value that should be inside the square root is 36.