This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Compute the power (-2)^2. (-2)^2 = 4 Substitute: [ -12 × 4 ] + sqrt(11 + 16) Step 2: Multiply inside the brackets. -12 × 4 = -48 So, -48 + sqrt(11 + 16) Step 3: Add inside the square root. 11 + 16 = 27 So, -48 + sqrt(27) Step 4: Simplify the square root. sqrt(27) = sqrt(9 × 3) = sqrt(9) × sqrt(3) = 3sqrt(3) So, -48 + 3sqrt(3) -48 + 3sqrt(3)