Using only two 2s and any of the standard mathematical symbols, write an expression whose value is equal to 5.
An approach could be: sqrt((2 * 2)!) = 4.90
Standard mathematical symbols (for this problem) are: addition, subtraction, multiplication, division, exponentiation, square root, factorization, parenthesis, positive, negative, ln, log. Superfactorials and such are not excluded, but not part of the desired solution. Any symbol having a value of its own, such as e, pi, and infinity, is not authorized.
The ceiling function is the smallest integer greater than or equal to its argument. So
ceil(sqrt((2*2)!)) would work.
Placed into terms of the the floor, or integer, function of greatest integer smaller than or equal to its argument, that same variation is given as
[√((2*2)!)]
where the square brackets indicate the floor function.

Posted by Charlie
on 20080916 10:48:11 