Triple treats or threats?

Number Theory Level pending

The 4 digit number 1aaa is the square of a positive integer. Find the integer.


The answer is 38.

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1 solution

Donglin Loo
Nov 18, 2014

Since the value of the square is around 1000 and 2000. The integer we need to find is between 32 and 44(32 and 44 included). Since 31^2=961,32^2=1024, 44^2=1936,45^2=2025. After trials and errors, it is obvious that 38 is the answer.

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