Simplify `sqrt(8 xx 220 div 11 + 85 - 20) = ?`

Options

A. 15
B. 25
C. 35
D. 20

Answer

To simplify the expression \( \sqrt{8 \times 220 \div 11 + 85 - 20} \), we will follow the order of operations (BODMAS/BIDMAS rules: Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Start with the expression**:
\[ \sqrt{8 \times 220 \div 11 + 85 - 20} \]

2. **Perform the division first**:
\[ 220 \div 11 = 20 \]
Now, substitute this back into the expression:
\[ \sqrt{8 \times 20 + 85 - 20} \]

3. **Next, perform the multiplication**:
\[ 8 \times 20 = 160 \]
Substitute this back into the expression:
\[ \sqrt{160 + 85 - 20} \]

4. **Now, perform the addition and subtraction**:
- First, add \( 160 + 85 \):
\[ 160 + 85 = 245 \]
- Then, subtract \( 20 \):
\[ 245 - 20 = 225 \]
Substitute this back into the expression:
\[ \sqrt{225} \]

5. **Finally, take the square root**:
\[ \sqrt{225} = 15 \]

Thus, the simplified value is:
\[ \boxed{15} \]