Question
If `x = 5 + 2sqrt(6), then (x - 1)/sqrt(x)` is equal to :
Answer: Option B
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`x = 5 + 2sqrt(6) = 3 + 2 + 2sqrt(6) = (sqrt(3))^2 + (sqrt(2))^2 + 2 xx sqrt(3)xxsqrt(2) = (sqrt(3) + sqrt(2))^2`
Also `, (x - 1) = 4 + 2sqrt(6) = 2(2 + sqrt(6)) = 2sqrt(2)(sqrt(2) + sqrt(3))`
`:.` ` (x - 1)/sqrt(x) = (2sqrt(2)(sqrt(3) + sqrt(2)))/((sqrt(3) + sqrt(2))) = 2sqrt(2)`.
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