asnaseer
  • asnaseer
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
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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asnaseer
  • asnaseer
Use these rules to produce the number 5.
karatechopper
  • karatechopper
what r sin cos tan and factorial?
asnaseer
  • asnaseer
they are trigometry functions

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

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