Simplify the radical expression sqrt(75) - sqrt(27) + sqrt(12).
Answer and explanation
Correct answer: A. 4 * sqrt(3)
- Step 1: Simplify each radical: sqrt(75) = sqrt(253) = 5sqrt(3); sqrt(27) = sqrt(93) = 3sqrt(3); sqrt(12) = sqrt(43) = 2sqrt(3). Step 2. Combine coefficients: (5 - 3 + 2) sqrt(3) = 4 sqrt(3). *Answer: 4 sqrt(3). Why not the others:** Radicals cannot be added or subtracted by operating directly on the radicands.
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