What is the value of sqrt(72 + sqrt(72 + sqrt(72 + ... to infinity)))?

Answer and explanation

Correct answer: A. 9

  1. Step 1: Let x = sqrt(72 + x) => x^2 = 72 + x => x^2 - x - 72 = 0.
  2. Step 2: Factoring gives: (x - 9)(x + 8) = 0.
  3. Step 3: Since x > 0, x = 9.

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