`768.16div11.87xxsqrt(257)-158.05=?`

Options

A. 1033
B. 1175
C. 866
D. 880

Explanation

To solve the expression \( 768.16 \div 11.87 \times \sqrt{257} - 158.05 \), we will approximate the values to simplify the calculations. Here’s the step-by-step solution:

### Step 1: Approximate the values
- Approximate \( 768.16 \) to \( 768 \).
- Approximate \( 11.87 \) to \( 12 \).
- Approximate \( \sqrt{257} \) to \( \sqrt{256} \), which is \( 16 \).
- Approximate \( 158.05 \) to \( 158 \).

### Step 2: Rewrite the expression with approximations
Now, we can rewrite the expression with the approximated values:
\[ 768 \div 12 \times 16 - 158 \]

### Step 3: Perform the division
Calculate \( 768 \div 12 \):
\[ 768 \div 12 = 64 \]

### Step 4: Multiply by the square root
Now multiply the result by \( 16 \):
\[ 64 \times 16 = 1024 \]

### Step 5: Subtract \( 158 \)
Now, subtract \( 158 \) from \( 1024 \):
\[ 1024 - 158 = 866 \]

### Final Answer
Thus, the approximate value of the expression \( 768.16 \div 11.87 \times \sqrt{257} - 158.05 \) is:
\[ \boxed{866} \]