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    Question

    If n = 3 + √2, then find the value of (n +

    1/n)².
    A 32 Correct Answer Incorrect Answer
    B 36 Correct Answer Incorrect Answer
    C 40 Correct Answer Incorrect Answer
    D 34 Correct Answer Incorrect Answer

    Solution

    'n' = 3 + √2So,1/n = 1 / (3 + √2) × (3 - √2)/(3 - √2)
    = (3 - √2) / (9 - 2)
    = 3 - √2
    Required value = (3 + √2 + 3 - √2)² = (6)² = 36

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