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    Question

    What is the value of

     2*`sqrt(-sqrt3+sqrt(3+8sqrt(7+4sqrt3)` ` `
    A 4 Correct Answer Incorrect Answer
    B 6 Correct Answer Incorrect Answer
    C 8 Correct Answer Incorrect Answer
    D 10 Correct Answer Incorrect Answer

    Solution

    `sqrt(-sqrt3+sqrt(3+8sqrt(7+4sqrt3)` `sqrt(-sqrt3+sqrt(3+8sqrt((2+sqrt3))^2` `sqrt(-sqrt3+sqrt(3+8(2+sqrt3))` `sqrt(-sqrt3+sqrt(3+16+8sqrt3` `sqrt(-sqrt3+sqrt((4+sqrt3))^2)` `sqrt(-sqrt3+(4+sqrt3)` =2 Therefore required value = 2 * 2 = 4

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