Simplification · Question 12 · Hard
Find the value of √(12 + √(12 + √(12 + ...))) (continuing infinitely).
- 3
- 4
- 6
- 12
Answer and explanation
Answer: B. 4
Explanation: Let the value be x. Then x = √(12 + x), so x^2 − x − 12 = 0, giving (x − 4)(x + 3) = 0. Since x > 0, x = 4.
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