Q2 DIGIT PROPERTIES

If n^2 = 12345678987654321 what is n?

There is a pattern when squaring "all 1-digited" numbers such as 1,11,111, and so on. It depends on the number of digits you are squaring. 

  For example, 11x11= 121 

  111x111=12321 

  1111x1111=1234321 

  As you can see, the digit-numbers increase consecutively from 1 to the number of digits you are using and then they decrease following the same pattern, so if you square an eight-digited "all 1" number, such as 11111111, you will get 123456787654321.

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