Square of Two Digits, Three digits of same number

Find the squares of same numbers as fast as it can be done. Time is limited, so we need to utilize it.

Lets’ take a look:

(11)² = 121.

The square of 11 is known to everyone. But what if the number of digits of 1 increases like 111 or 1111 or 11111? No problem. Here are examples and solutions on the squares of 111 or squares of 1111 or squares of 11111.

(111)² = 12321     ,     (1111)² = 1234321    ,      (11111)² = 123454321

Here are some other example on the Squares of 22 or Squares of 222 and so on.

(22)² = {2*(11)}² = 4*(11)² = 4*(121) = 484 ;

(222)² = {2*(111)}² = 4*(111)² = 4*(12321) = 49284

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