2 Perform the indicated operation. siniply the answr when possible. \[ -2 \sqrt{96}+5 \sqrt{24} \]

Step 1 ：Simplify the square roots. The square root of 96 can be simplified to \(4\sqrt{6}\) and the square root of 24 can be simplified to \(2\sqrt{6}\).

Step 2 ：Substitute the simplified square roots back into the expression. This gives us \(-2(4\sqrt{6}) + 5(2\sqrt{6})\).

Step 3 ：Simplify the expression to get \(-8\sqrt{6} + 10\sqrt{6}\).

Step 4 ：Combine like terms to get the final simplified form of the expression, \(2\sqrt{6}\).

Step 5 ：Final Answer: The final simplified form of the expression is \(\boxed{2\sqrt{6}}\).