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 the expression 3sqrt(5) - 2sqrt(5) + sqrt(5). We need to simplify this expression by combining the like surds. Step 1: Identify the terms with the same radical. All terms in the expression, 3sqrt(5), -2sqrt(5), and sqrt(5), have sqrt(5) as their radical part. This means they are like surds and can be combined. Step 2: Combine the coefficients of the like surds. The coefficients are 3, -2, and 1 (since sqrt(5) is equivalent to 1sqrt(5)). 3sqrt(5) - 2sqrt(5) + sqrt(5) = (3 - 2 + 1)sqrt(5) Step 3: Perform the arithmetic operation on the coefficients. (3 - 2 + 1)sqrt(5) = (1 + 1)sqrt(5) = 2sqrt(5) The simplified expression is: 2sqrt(5) Last free one today — make it count tomorrow, or type /upgrade for unlimited.