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    Question

    If n = 5 + √6, then find the value of (n +

    1/n)².
    A 121 Correct Answer Incorrect Answer
    B 81 Correct Answer Incorrect Answer
    C 100 Correct Answer Incorrect Answer
    D 110 Correct Answer Incorrect Answer

    Solution

    'n' = 5 + √6
    So,
    1/n = 1 / (5 + √6) × (5 - √6)/(5 - √6)
    = (5 - √6) / (25 - 6)
    = 5 - √6
    Required value = (5 + √6 + 5 - √6)² = (10)² = 100

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