Question - Solving an arithmetic problem with basic operations and square root

\(\frac{140}{2} + \sqrt{4 \cdot 3 + 2} \cdot 4 - (25-5-3)^2\)

\(= 70 + \sqrt{12 + 2} \cdot 4 - 17^2\)

\(= 70 + \sqrt{14} \cdot 4 - 289\)

\(= 70 + 2 \sqrt{14} \cdot 4 - 289\)

\(= 70 + 8 \sqrt{14} - 289\)

\(= 70 + 8 \cdot 3.74 - 289\), as \(\sqrt{14} \approx 3.74\)

\(= 70 + 29.92 - 289\)

\(= 99.92 - 289\)

\(= -189.08\)

Therefore, the result is approximately \(-189.08\).