For supernatural fans
Number Theory
Level
4
One day Dean Winchester as usually teases Sam by asking him a question . He said: Samy find out 3-digit numbers which are not perfect squares but if we rearrange the digits we can get 3 perfect squares. Smart Sam quickly answered all possible numbers.What is the sum of all those numbers?
The answer is 2226.
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1 solution
Take all perfect square from 11 to 31 (32^2=1024), we see only 169,196 and 961 is the 3 perfect square that have the same digits. So the numbers we need to find is other 3 arrangements of those 3 digits