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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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