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(√2 − 1/√2)² =

A. 3/2
B. 1/2
C. −1/2
D. None of these
Correct Answer: B. 1/2

Correct answer: 1/2. √2 − 1/√2 = (2 − 1)/√2 = 1/√2, and (1/√2)² = 1/2.

  • 3/2: 3/2 results from an incorrect expansion.
  • −1/2: A square cannot be negative, so −1/2 is impossible.
  • None of these: “None of these” is incorrect because 1/2 is correct.

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