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      Question

      If n = 6 + √13, then find the value of (n +

      1/n)².
      A 169 Correct Answer Incorrect Answer
      B 121 Correct Answer Incorrect Answer
      C 144 Correct Answer Incorrect Answer
      D 156 Correct Answer Incorrect Answer

      Solution

      'n' = 6 + √13
      So,
      1/n = 1 / (6 + √13) × (6 - √13)/(6 - √13)
      = (6 - √13) / (36 - 13)
      = 6 - √13
      Required value = (6 + √13 + 6 - √13)² = (12)² = 144

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