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
The image shows an equation involving surds: 3sqrt(5) = 2sqrt(5) + sqrt(5). We need to verify if this equation is true by simplifying the right-hand side. Step 1: Identify the terms on the right-hand side. The right-hand side (RHS) of the equation is 2sqrt(5) + sqrt(5). Step 2: Combine the like surds. Since both terms have sqrt(5) as the radical part, they are like surds and can be added by combining their coefficients. 2sqrt(5) + sqrt(5) = (2+1)sqrt(5) Step 3: Simplify the expression. (2+1)sqrt(5) = 3sqrt(5) Step 4: Compare with the left-hand side. The left-hand side (LHS) of the equation is 3sqrt(5). Since the simplified RHS (3sqrt(5)) is equal to the LHS (3sqrt(5)), the equation is true. 3sqrt(5) = 3sqrt(5) 3 done, 2 left today. You're making progress.