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    Question

    The value of √(56+√(56 +√(56+

    √(56+√56+ ................ )) )) is
    A 8 Correct Answer Incorrect Answer
    B 7 Correct Answer Incorrect Answer
    C 6 Correct Answer Incorrect Answer
    D √56 Correct Answer Incorrect Answer

    Solution

    Let x = √(56+√(56 +√(56+ √(56+√56 +.... )) )) x = √(56+x) Squaring both the sides x² = 56 + x x² - x – 56 = 0 x² - 8x + 7x – 56 = 0 x(x-8) + 7(x + 7) x = 8 , -7

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