This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.
ScanSolve AI Answer
Here's how to simplify the expression: Step 1: Simplify the numerator sqrt(48). We look for the largest perfect square factor of 48. sqrt(48) = sqrt(16 × 3) = sqrt(16) × sqrt(3) = 4sqrt(3) Step 2: Rationalize the denominator by multiplying the expression by the conjugate of the denominator. The conjugate of sqrt(5)+sqrt(3) is sqrt(5)-sqrt(3). 4sqrt(3)sqrt(5)+sqrt(3) × sqrt(5)-sqrt(3)sqrt(5)-sqrt(3) Step 3: Multiply the numerators. 4sqrt(3)(sqrt(5)-sqrt(3)) = 4sqrt(3)sqrt(5) - 4sqrt(3)sqrt(3) = 4sqrt(15) - 4(3) = 4sqrt(15) - 12 Step 4: Multiply the denominators using the difference of squares formula (x+y)(x-y) = x^2 - y^2. (sqrt(5)+sqrt(3))(sqrt(5)-sqrt(3)) = (sqrt(5))^2 - (sqrt(3))^2 = 5 - 3 = 2 Step 5: Combine the simplified numerator and denominator. 4sqrt(15) - 122 Step 6: Divide each term in the numerator by the denominator. 4sqrt(15)2 - (12)/(2) = 2sqrt(15) - 6 The expression in the form asqrt(b) + c is: 2sqrt(15) - 6 That's 2 down. 3 left today — send the next one.