If x = 3 + 2√2, find the value of √(x) – 1/√(x):

by

(A) ±2
(B) ±5
(C) ±6
(D) None of these

🧠 Explanation (Math):

Given: x = 3 + 2√2; find √x − 1/√x
Step 1: Note (1 + √2)² = 1 + 2√2 + 2 = 3 + 2√2 = x ⇒ √x = 1 + √2
Step 2: 1/√x = 1/(1 + √2) = (√2 − 1)
Step 3: Difference = (1 + √2) − (√2 − 1) = 2
Step 4: Choose the provided option form
Final Answer: ±2