Questions: Evaluate to two decimal places: [ left22-2 cdotleft[3+left(frac246right)right]right^2 ]

Solution Steps

To solve the given mathematical expression, follow these steps:

1. Evaluate the innermost parentheses first: \(\frac{24}{6}\).
2. Add the result to 3.
3. Multiply the sum by 2.
4. Subtract the product from 22.
5. Square the result.
6. Round the final result to two decimal places.

First, we evaluate the innermost parentheses: \[ \frac{24}{6} = 4.0 \]

Next, we add the result to 3: \[ 3 + 4.0 = 7.0 \]

Then, we multiply the sum by 2: \[ 2 \cdot 7.0 = 14.0 \]

We subtract the product from 22: \[ 22 - 14.0 = 8.0 \]

Next, we square the result: \[ 8.0^2 = 64.0 \]

Finally, we round the result to two decimal places: \[ 64.0 \]

Final Answer