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: Simplify each radical term by finding perfect square factors. For 3sqrt(8): sqrt(8) = sqrt(4 × 2) = sqrt(4) × sqrt(2) = 2sqrt(2) So, 3sqrt(8) = 3 × 2sqrt(2) = 6sqrt(2) Step 2: Simplify the next radical term. For 2sqrt(18): sqrt(18) = sqrt(9 × 2) = sqrt(9) × sqrt(2) = 3sqrt(2) So, 2sqrt(18) = 2 × 3sqrt(2) = 6sqrt(2) Step 3: Substitute the simplified radicals back into the original expression. The expression becomes: 6sqrt(2) + 6sqrt(2) - 6sqrt(2) Step 4: Combine the like terms. (6+6-6)sqrt(2) = 6sqrt(2) The final answer is 6sqrt(2). That's 2 down. 3 left today — send the next one.