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