Method right. A square root dropped at the last step.
High confidence- 1P cancels out, so C = A¹⁰ and the trace is (1/√2)¹⁰ + 1. ✓ right idea
- 2
You stopped here You: (√2)¹⁰ = 2¹⁰ = 1024 → 1025/1024 ✗ Right: (√2)¹⁰ = 2⁵ = 32 → 33/32 ✓ √2 to the 10th is 2⁵, not 2¹⁰.
- 31025/1024 → m + n = 2049 (33/32 → 65)
Why high confidence: dropping the √ gives exactly 1025/1024, so m + n = 2049, the option he marked.
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