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
You're on a roll — let's correct the rationalization of the expression -2 + sqrt(21)sqrt(21). Step 1: Identify the radical in the denominator. The denominator is sqrt(21). To rationalize it, we need to multiply both the numerator and the denominator by sqrt(21). Step 2: Multiply the expression by sqrt(21)sqrt(21). -2 + sqrt(21)sqrt(21) × sqrt(21)sqrt(21) Step 3: Distribute sqrt(21) to each term in the numerator and simplify the denominator. (-2)sqrt(21) + (sqrt(21))(sqrt(21))(sqrt(21))(sqrt(21)) Step 4: Simplify the terms in the numerator and denominator. -2sqrt(21) + 2121 Step 5: Rearrange the terms in the numerator for standard form. 21 - 2sqrt(21)21 You're doing great! What's next? 📸