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: Rewrite the division as a fraction. 4sqrt(15) ÷ 2sqrt(5) = 4sqrt(15)2sqrt(5) Step 2: Simplify the numerical coefficients and the surds separately. (4)/(2) × sqrt(15)sqrt(5) Step 3: Perform the division for the coefficients. 2 × sqrt(15)sqrt(5) Step 4: Use the property sqrt(a)sqrt(b) = sqrt((a)/(b)) to simplify the surds. 2 × sqrt((15)/(5)) Step 5: Perform the division inside the square root. 2 × sqrt(3) The simplified expression is: 2sqrt(3) That's 2 down. 3 left today — send the next one.