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
Hey Egyptian, good to see you again. Step 1: Simplify each radical by finding the largest perfect square factor. For sqrt(108): sqrt(108) = sqrt(36 × 3) = sqrt(36) × sqrt(3) = 6sqrt(3) For sqrt(125): sqrt(125) = sqrt(25 × 5) = sqrt(25) × sqrt(5) = 5sqrt(5) For sqrt(75): sqrt(75) = sqrt(25 × 3) = sqrt(25) × sqrt(3) = 5sqrt(3) Step 2: Substitute the simplified radicals back into the original expression. 6sqrt(3) + 5sqrt(5) - 5sqrt(3) Step 3: Combine like terms. Group the terms with sqrt(3): (6sqrt(3) - 5sqrt(3)) + 5sqrt(5) (6-5)sqrt(3) + 5sqrt(5) 1sqrt(3) + 5sqrt(5) sqrt(3) + 5sqrt(5) The simplified expression is: sqrt(3) + 5sqrt(5) Send me the next one 📸