`(96xxsqrt49)/(sqrt196)=?xxsqrt36`

Options

A. 16
B. 48
C. 96
D. None of these

Answer

To solve the equation \((96 \times \sqrt{49}) / (\sqrt{196}) = ? \times \sqrt{36}\), we will follow these steps:

### Step 1: Simplify the square roots
First, we need to calculate the values of the square roots:
- \(\sqrt{49} = 7\)
- \(\sqrt{196} = 14\)
- \(\sqrt{36} = 6\)

### Step 2: Substitute the square root values into the equation
Now we can substitute these values back into the equation:
\[ \frac{96 \times 7}{14} = ? \times 6 \]

### Step 3: Calculate the left side
Next, we calculate the left side of the equation:
\[ 96 \times 7 = 672 \]
Now, substituting this back into the equation gives:
\[ \frac{672}{14} = ? \times 6 \]

### Step 4: Perform the division
Now we perform the division:
\[ \frac{672}{14} = 48 \]
So we have:
\[ 48 = ? \times 6 \]

### Step 5: Solve for ?
To find the value of \(?\), we divide both sides by 6:
\[ ? = \frac{48}{6} = 8 \]

### Conclusion
Thus, the value of \(?\) is 8. Since the options given are 16, 48, 96, and none of these, the correct answer is **none of these**.

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