Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality sqrt(sqrt(a))+sqrt(a) >sqrt(sqrt(a^2-6))+sqrt(a^2-6) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         sqrt ( sqrt ( a ) ) + sqrt ( a ) > sqrt ( sqrt ( a ^ 2 - 6 ) ) + sqrt ( a ^ 2 - 6 )         (1)
        From the definition field of √
         x ≥ 0        (2 )
        From the definition field of √
         sqrt ( x ) ≥ 0        (3 )
        From the definition field of √
         x ≥ 0        (4 )
        From the definition field of √
         x ^ 2 - 6 ≥ 0        (5 )
        From the definition field of √
         sqrt ( x ^ 2 - 6 ) ≥ 0        (6 )
        From the definition field of √
         x ^ 2 - 6 ≥ 0        (7 )

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    From inequality(1)：
         a < 3
    From inequality(2)：
         a ≥ 0
    From inequality(3)：
         a ≥ 0
    From inequality(4)：
         a ≥ 0
    From inequality(5)：
         a ≤ -√6 或  a ≥ √6
    From inequality(6)：
         a ≥ √6
    From inequality(7)：
         a ≤ -√6 或  a ≥ √6

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    From inequalities (1) and (2)
         0 ≤ a < 3    (8)
    From inequalities (3) and (8)
         0 ≤ a < 3    (9)
    From inequalities (4) and (9)
         0 ≤ a < 3    (10)
    From inequalities (5) and (10)
         √6 ≤ a < 3    (11)
    From inequalities (6) and (11)
         √6 ≤ a < 3    (12)
    From inequalities (7) and (12)
         √6 ≤ a < 3    (13)

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    The final solution set is :
         √6 ≤ a < 3

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