What will come in place of question mark (?) in the following questions
`sqrt((3840)/(60) + (1440)/(40) - (1330)/(70)) = ?`

Options

A. 10
B. 9
C. 8
D. 7

Answer

To solve the equation \( \sqrt{\frac{3840}{60} + \frac{1440}{40} - \frac{1330}{70}} = ? \), we will follow these steps:

### Step 1: Simplify Each Fraction
First, we will simplify each of the fractions in the expression inside the square root.

1. **Calculate \( \frac{3840}{60} \)**:
\[ \frac{3840}{60} = 64 \]

2. **Calculate \( \frac{1440}{40} \)**:
\[ \frac{1440}{40} = 36 \]

3. **Calculate \( \frac{1330}{70} \)**:
\[ \frac{1330}{70} = 19 \]

### Step 2: Substitute Back into the Expression
Now we substitute these simplified values back into the expression:
\[ \sqrt{64 + 36 - 19} \]

### Step 3: Perform the Addition and Subtraction
Next, we perform the addition and subtraction inside the square root:
\[ 64 + 36 = 100 \]
\[ 100 - 19 = 81 \]

### Step 4: Calculate the Square Root
Now we take the square root of the result:
\[ \sqrt{81} = 9 \]

### Final Answer
Thus, the value that comes in place of the question mark (?) is:
\[ \boxed{9} \]

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