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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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