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Puzzle time: You are allowed to use any number of mathematical operators or functions (e.g. +, -, *, /, sin, cos, tan, factorial, sqrt, etc) but only two constants both of which must be the number 2.

Mathematics
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Use these rules to produce the number 5.
what r sin cos tan and factorial?
they are trigometry functions

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Other answers:

*trigonometry
i dont knw em..
do we need to know then for this?
I know of two ways of solving this - one requires the use of trig functions but the other one does not...
3+2
you are not allowed to use the number 3. the only "number" you can use are 2 and 2 - i.e. two 2's
o..
Can you use floor and ceiling functions?
Unfortunately not...
do u have to use both of the 2s?
yes - the expression you end up with must have exactly two 2's within it
ok
haha thts what ijust typed in my calc
but its not 5
@moneybird - that works out to be 2 doesn't it?
i though it needs to be equal to 2 my bad
:-)
haha yea
can there be more 2s?
trying to use floor and ceiling functions was a clever thought though @moneybird
what r floor and ceiling functions?
floor(1.5678)=1 ceiling(1.5678)=2
floor basically says "drop the decimal part"
ceiling says "round down to integer"
*up
o
can we more than just two 2s?
nope
hmm
both answers that I have are /fairly/ simple - so no magical complicated functions are needed
o..
is one of them with no trignometric functions in it?
correct
ok..so it has like somple ones tht a third grader is familiar with?
yup
like +,-,/,*
a bit more than just those...
factorial and sqrt?
it has sqrt and powers in it...
o..
if i use 2 as a power, does it still count as one of the 2s?
yes
but the purer answer uses only trig functions
argh..
who said this was going to be easy? ;-)
not me!
:-)
hmmm i need clues...
I gave you a clue already: it has sqrt and powers in it...
but u can have only two 2s! and if i say 2 to the power of 2 then my 2s r used!!!!
correct - so think of other ways of using sqrt and powers - and remember "power" does not mean it has to be to the power to "2". as long as the only digits that appear in the answer are two 2's - then the solution is valid.
so u mean they can be to the power of any number?
if I say anymore I will give the answer away :-)
hmmmmmmmm

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