Question

\\(3-7)^2 + 3(4) - \sqrt{2 \times 32}\\

Explanation:

Evaluate parentheses

Using the Integer Operations knowledge point

$$ 3 - 7 = -4 $$

Apply exponents

Using the Integer Operations knowledge point

$$ (-4)^2 = 16 $$

Perform multiplication

Using the Order of Operations knowledge point

$$ 3 \times 4 = 12 $$

Simplify square root

Using the Square Roots knowledge point

$$ \sqrt{2 \times 32} = \sqrt{64} = 8 $$

Combine terms

Using the Order of Operations knowledge point

$$ 16 + 12 - 8 = 28 - 8 = 20 $$

Answer:

\(20\)