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Using only the number 2 several times, form the numbers 2, 22 and 222.

The following operations are available:

  • addition
  • subtraction
  • multiplication
  • division
  • exponentiation

Each of these operations need to be used exactly 2 times in each of the expressions. Parentheses can be used whenever needed.

Good luck.

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  • $\begingroup$ Is concatenation allowed (22)? How about the decimal point (2.2)? $\endgroup$
    – bobble
    Jan 6, 2023 at 14:45
  • $\begingroup$ Neither of the two are allowed. Only the five operations mentioned are. @bobble $\endgroup$ Jan 6, 2023 at 14:46

1 Answer 1

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2 = 2 + (2*2) - (2*2) + ((2^2)/2) - ((2^2)/2)

22 = (2^(2*2)) + (2^2) + (2*2) - (2/2) - (2/2)

222 = ((2+2)^(2+2)) - (2*(2^(2*2))) - (2/(2/2))

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