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: Expand the expression using the distributive property (FOIL method). (sqrt(7)+2)(sqrt(7)-1) = sqrt(7) · sqrt(7) + sqrt(7) · (-1) + 2 · sqrt(7) + 2 · (-1) Step 2: Perform the multiplications. = 7 - sqrt(7) + 2sqrt(7) - 2 Step 3: Group the like terms (constants and terms with sqrt(7)). = (7 - 2) + (-sqrt(7) + 2sqrt(7)) Step 4: Simplify the grouped terms. = 5 + sqrt(7) The answer in surd form is: 5 + sqrt(7) That's 2 down. 3 left today — send the next one.