Question

    If n = 1 + √2, then find the value of (n +

    1/n)².
    A 6 Correct Answer Incorrect Answer
    B 4 Correct Answer Incorrect Answer
    C 8 Correct Answer Incorrect Answer
    D 10 Correct Answer Incorrect Answer

    Solution

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

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