`sqrt729 xx 56 div 8 = ?`

Options

A. 198
B. 138
C. 189
D. 142

Answer

To solve the expression \( \sqrt{729} \times 56 \div 8 \), we will follow the order of operations (BODMAS/BIDMAS).

### Step-by-Step Solution:

1. **Calculate the square root of 729**:
\[ \sqrt{729} = 27 \]
(Since \( 27 \times 27 = 729 \))

**Hint**: Remember that the square root of a number is a value that, when multiplied by itself, gives the original number.

2. **Substitute the square root back into the expression**:
\[ 27 \times 56 \div 8 \]

**Hint**: After finding the square root, replace it in the original expression to simplify further calculations.

3. **Perform the division first** (according to BODMAS):
\[ 56 \div 8 = 7 \]

**Hint**: Always perform division before multiplication when following the order of operations.

4. **Now substitute back into the expression**:
\[ 27 \times 7 \]

**Hint**: After completing the division, you can now focus on the remaining multiplication.

5. **Calculate the multiplication**:
\[ 27 \times 7 = 189 \]

**Hint**: Multiplication can be done in any order, but it may help to break it down (e.g., \( 20 \times 7 + 7 \times 7 \)) if you find it easier.

### Final Answer:
\[ \sqrt{729} \times 56 \div 8 = 189 \]