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    Question

    If n = 4 + √5, then find the value of (n +

    1/n)².
    A 64 Correct Answer Incorrect Answer
    B 60 Correct Answer Incorrect Answer
    C 56 Correct Answer Incorrect Answer
    D 49 Correct Answer Incorrect Answer

    Solution

    'n' = 4 + √5
    So,
    1/n = 1 / (4 + √5) × (4 - √5)/(4 - √5)
    = (4 - √5) / (16 - 5)
    = 4 - √5
    Required value = (4 + √5 + 4 - √5)² = (8)² = 64

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