Such a lage root....................
Number Theory
Level
pending
Find the root of (11111----200 times) minus (2222-------100 times)
99999-------98 times
1111111------68 times
211111----99 times
3333------100 times
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1 solution
We know that the last digit of the huge number has to be 3, and so its root must end with 3 or 7. Clearly 333...333 is the only possibility.