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.

- asnaseer

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- asnaseer

Use these rules to produce the number 5.

- karatechopper

what r sin cos tan and factorial?

- asnaseer

they are trigometry functions

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## More answers

- asnaseer

*trigonometry

- karatechopper

i dont knw em..

- karatechopper

do we need to know then for this?

- asnaseer

I know of two ways of solving this - one requires the use of trig functions but the other one does not...

- karatechopper

3+2

- asnaseer

you are not allowed to use the number 3. the only "number" you can use are 2 and 2 - i.e. two 2's

- karatechopper

o..

- anonymous

Can you use floor and ceiling functions?

- asnaseer

Unfortunately not...

- karatechopper

do u have to use both of the 2s?

- asnaseer

yes - the expression you end up with must have exactly two 2's within it

- karatechopper

ok

- karatechopper

haha thts what ijust typed in my calc

- karatechopper

but its not 5

- asnaseer

@moneybird - that works out to be 2 doesn't it?

- anonymous

i though it needs to be equal to 2 my bad

- asnaseer

:-)

- karatechopper

haha yea

- karatechopper

can there be more 2s?

- asnaseer

trying to use floor and ceiling functions was a clever thought though @moneybird

- karatechopper

what r floor and ceiling functions?

- asnaseer

floor(1.5678)=1
ceiling(1.5678)=2

- asnaseer

floor basically says "drop the decimal part"

- asnaseer

ceiling says "round down to integer"

- asnaseer

*up

- karatechopper

o

- karatechopper

can we more than just two 2s?

- asnaseer

nope

- karatechopper

hmm

- asnaseer

both answers that I have are /fairly/ simple - so no magical complicated functions are needed

- karatechopper

o..

- karatechopper

is one of them with no trignometric functions in it?

- asnaseer

correct

- karatechopper

ok..so it has like somple ones tht a third grader is familiar with?

- asnaseer

yup

- karatechopper

like +,-,/,*

- asnaseer

a bit more than just those...

- karatechopper

factorial and sqrt?

- asnaseer

it has sqrt and powers in it...

- karatechopper

o..

- karatechopper

if i use 2 as a power, does it still count as one of the 2s?

- asnaseer

yes

- asnaseer

but the purer answer uses only trig functions

- karatechopper

argh..

- asnaseer

who said this was going to be easy? ;-)

- karatechopper

not me!

- asnaseer

:-)

- karatechopper

hmmm i need clues...

- asnaseer

I gave you a clue already:
it has sqrt and powers in it...

- karatechopper

but u can have only two 2s! and if i say 2 to the power of 2 then my 2s r used!!!!

- asnaseer

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.

- karatechopper

so u mean they can be to the power of any number?

- asnaseer

if I say anymore I will give the answer away :-)

- karatechopper

hmmmmmmmm

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