What should come in place of the question mark (?) in the following questions:
`sqrt841 xx sqrt64 -: sqrt25`= ?

Options

A. 44.6
B. 46.4
C. 45.75
D. 44.06

Answer

To solve the expression \( \sqrt{841} \times \sqrt{64} \div \sqrt{25} \), we will follow these steps:

### Step 1: Calculate \( \sqrt{841} \)
The square root of 841 is 29, because \( 29 \times 29 = 841 \).

### Step 2: Calculate \( \sqrt{64} \)
The square root of 64 is 8, because \( 8 \times 8 = 64 \).

### Step 3: Calculate \( \sqrt{25} \)
The square root of 25 is 5, because \( 5 \times 5 = 25 \).

### Step 4: Substitute the values into the expression
Now we substitute the calculated values into the original expression:
\[ \sqrt{841} \times \sqrt{64} \div \sqrt{25} = 29 \times 8 \div 5 \]

### Step 5: Perform the multiplication
First, we multiply 29 by 8:
\[ 29 \times 8 = 232 \]

### Step 6: Perform the division
Now we divide 232 by 5:
\[ 232 \div 5 = 46.4 \]

### Final Answer
Thus, the value that should come in place of the question mark (?) is \( 46.4 \).

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