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    Question

    If x = 6 + 2√5, then the value of √x - (1/√x)?

    A 2√6 Correct Answer Incorrect Answer
    B 2√2 Correct Answer Incorrect Answer
    C 5√7 Correct Answer Incorrect Answer
    D 7√6 Correct Answer Incorrect Answer

    Solution

     x = 5 + 2√6    = 3 + 2 + 2√3 √2   = √3 √3 + √2 √2 + 2√3  √2   = (√3+√2)2So x = (√3+√2)2So √x  = (√3+√2) Putting √x  =  (√3+√2)  in √x - (1/√x) we get,= (√3+√2) -  (√3-√2) = 2 √2

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