Mathematics · Binomial Theorem
Let u be a positive integer and f be a real number lying between 0 and 1 such that (√2 + 1)10 = u + f, and let (√2 - 1)10 = v. Consider the following statements: I. (u + v + f) is an integer. II. (f + v) is an integer. Which of the statements given above is/are correct?
- 1Neither I nor II
- 2Both I and II✓
- 3II only
- 4I only
Correct answer
Both I and II
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