If x = 3 + 2√2, then the value of (√x - 1/√x) is:
Solution
Correct Answer: Option B
(√x -1/√x)2 = x +(1/x) – 2
= (3 + 2√2) +1/(3 + 2√2)- 2
= (3 + 2√2) +1/(3 + 2√2) x (3 - 2√2)/ (3 - 2√2) – 2
= (3 + 2√2) + (3 - 2√2) – 2
= 4.
Therefore, (√x - 1/√x) = 2.
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