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