Question
If `x = 3 + 2sqrt(2)`, then the value of `(sqrt(x) - 1/sqrt(x))` is :
Answer: Option B
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`(sqrt(x) - 1/sqrt(x))^2 = x + 1/x - 2 = (3 + 2sqrt(2)) + 1/((3 + 2sqrt(2))) - 2`
=`(3 + 2sqrt(2)) + 1/((3 + 2sqrt(2))) xx ((3 - 2sqrt(2)))/((3 - 2sqrt(2))) - 2 = (3 + 2sqrt(2)) + (3 - 2sqrt(2)) - 2 = 4`
`:.` `(sqrt(x) - 1/sqrt(x))` = 2.
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