What is the value of (v + f) ?
For the next five (05) items that follow : Let u be a positive integer and f be a real number lying between 0 and 1. Further, \( (\sqrt{2} + 1)^{10} = u + f \) and \( (\sqrt{2} - 1)^{10} = v \)
- A. 2
- B. 1 ✓
- C. 0.5
- D. 0.25
Correct Answer: B. 1
Explanation
Since f and v are both between 0 and 1, their sum must strictly be strictly between 0 and 2. We already established that f + v is an integer, so the only possible value is 1.
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