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 the solution for 2a.i: Step 1: Identify the expression to rationalize. The expression is 1+sqrt(2)sqrt(2). To rationalize the denominator, we need to eliminate the square root from the denominator. Step 2: Multiply the numerator and denominator by sqrt(2). 1+sqrt(2)sqrt(2) × sqrt(2)sqrt(2) Step 3: Distribute and simplify the numerator and denominator. = (1)(sqrt(2)) + (sqrt(2))(sqrt(2))(sqrt(2))(sqrt(2)) = sqrt(2) + 22 The simplified expression is: sqrt(2) + 22 That's 2 down. 3 left today — send the next one.