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    5. √ (12+√ (12+√ (12+ ⋯ ∞ )) 

    Question

    √ (12+√ (12+√ (12+ ⋯ ∞

    )) 
    A 6 Correct Answer Incorrect Answer
    B 4 Correct Answer Incorrect Answer
    C 3 Correct Answer Incorrect Answer
    D 12 Correct Answer Incorrect Answer

    Solution

    √ (12+√ (12+√ (12+⋯ ∞ )) y=√(12+y) Squaring on both sides Y2 = 12 + y Y2 - y - 12 = 0 Y2 - 4y + 3y - 12 = 0 y (y - 4) + 3(y - 4) = 0 (y - 4) (y + 3) = 0   Y = 4 or y = - 3 Answer will be 4.

    Practice Next
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    Relevant for Exams:

    • SSC CHSL
    • SSC MTS

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