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
Hey Ms — ready when you are. Step 1: Evaluate sqrt(63^4). We use the property that sqrt(x^n) = x^n/2. sqrt(63^4) = 63^(4)/(2) = 63^2 Step 2: Calculate 63^2. 63^2 = 63 × 63 = 3969 The evaluated expression is: 3969 Step 1: Simplify sqrt((297)/(64)). We can separate the square root into the numerator and the denominator: sqrt((297)/(64)) = sqrt(297)sqrt(64) Step 2: Simplify the denominator. sqrt(64) = 8 Step 3: Simplify the numerator sqrt(297). Find the prime factors of 297: 297 = 3 × 99 = 3 × 9 × 11 = 3 × 3^2 × 11 Now, take the square root: sqrt(297) = sqrt(3^2 × 3 × 11) = sqrt(3^2) × sqrt(3 × 11) = 3sqrt(33) Step 4: Combine the simplified numerator and denominator. sqrt(297)sqrt(64) = 3sqrt(33)8 The simplified expression is: 3sqrt(33)8 Send me the next one 📸