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
here's how to solve the expression: sqrt(75) - sqrt(48) Step 1: Simplify each radical by finding the largest perfect square factor. sqrt(75) = sqrt(25 × 3) = sqrt(25) × sqrt(3) = 5sqrt(3) sqrt(48) = sqrt(16 × 3) = sqrt(16) × sqrt(3) = 4sqrt(3) Step 2: Substitute the simplified radicals back into the expression. 5sqrt(3) - 4sqrt(3) Step 3: Combine the like terms by subtracting their coefficients. (5-4)sqrt(3) = 1sqrt(3) = sqrt(3) The final answer is sqrt(3). What's next?