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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.

  • 2 years ago
  • 2 years ago

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  1. asnaseer
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    Use these rules to produce the number 5.

    • 2 years ago
  2. karatechopper
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    what r sin cos tan and factorial?

    • 2 years ago
  3. asnaseer
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    they are trigometry functions

    • 2 years ago
  4. asnaseer
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    *trigonometry

    • 2 years ago
  5. karatechopper
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    i dont knw em..

    • 2 years ago
  6. karatechopper
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    do we need to know then for this?

    • 2 years ago
  7. asnaseer
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    I know of two ways of solving this - one requires the use of trig functions but the other one does not...

    • 2 years ago
  8. karatechopper
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    3+2

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

    • 2 years ago
  10. karatechopper
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    o..

    • 2 years ago
  11. moneybird
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    Can you use floor and ceiling functions?

    • 2 years ago
  12. asnaseer
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    Unfortunately not...

    • 2 years ago
  13. karatechopper
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    do u have to use both of the 2s?

    • 2 years ago
  14. asnaseer
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    yes - the expression you end up with must have exactly two 2's within it

    • 2 years ago
  15. karatechopper
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    ok

    • 2 years ago
  16. karatechopper
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    haha thts what ijust typed in my calc

    • 2 years ago
  17. karatechopper
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    but its not 5

    • 2 years ago
  18. asnaseer
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    @moneybird - that works out to be 2 doesn't it?

    • 2 years ago
  19. moneybird
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    i though it needs to be equal to 2 my bad

    • 2 years ago
  20. asnaseer
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    :-)

    • 2 years ago
  21. karatechopper
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    haha yea

    • 2 years ago
  22. karatechopper
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    can there be more 2s?

    • 2 years ago
  23. asnaseer
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    trying to use floor and ceiling functions was a clever thought though @moneybird

    • 2 years ago
  24. karatechopper
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    what r floor and ceiling functions?

    • 2 years ago
  25. asnaseer
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    floor(1.5678)=1 ceiling(1.5678)=2

    • 2 years ago
  26. asnaseer
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    floor basically says "drop the decimal part"

    • 2 years ago
  27. asnaseer
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    ceiling says "round down to integer"

    • 2 years ago
  28. asnaseer
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    *up

    • 2 years ago
  29. karatechopper
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    o

    • 2 years ago
  30. karatechopper
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    can we more than just two 2s?

    • 2 years ago
  31. asnaseer
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    nope

    • 2 years ago
  32. karatechopper
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    hmm

    • 2 years ago
  33. asnaseer
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    both answers that I have are /fairly/ simple - so no magical complicated functions are needed

    • 2 years ago
  34. karatechopper
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    o..

    • 2 years ago
  35. karatechopper
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    is one of them with no trignometric functions in it?

    • 2 years ago
  36. asnaseer
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    correct

    • 2 years ago
  37. karatechopper
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    ok..so it has like somple ones tht a third grader is familiar with?

    • 2 years ago
  38. asnaseer
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    yup

    • 2 years ago
  39. karatechopper
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    like +,-,/,*

    • 2 years ago
  40. asnaseer
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    a bit more than just those...

    • 2 years ago
  41. karatechopper
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    factorial and sqrt?

    • 2 years ago
  42. asnaseer
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    it has sqrt and powers in it...

    • 2 years ago
  43. karatechopper
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    o..

    • 2 years ago
  44. karatechopper
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    if i use 2 as a power, does it still count as one of the 2s?

    • 2 years ago
  45. asnaseer
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    yes

    • 2 years ago
  46. asnaseer
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    but the purer answer uses only trig functions

    • 2 years ago
  47. karatechopper
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    argh..

    • 2 years ago
  48. asnaseer
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    who said this was going to be easy? ;-)

    • 2 years ago
  49. karatechopper
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    not me!

    • 2 years ago
  50. asnaseer
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    :-)

    • 2 years ago
  51. karatechopper
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    hmmm i need clues...

    • 2 years ago
  52. asnaseer
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    I gave you a clue already: it has sqrt and powers in it...

    • 2 years ago
  53. karatechopper
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    but u can have only two 2s! and if i say 2 to the power of 2 then my 2s r used!!!!

    • 2 years ago
  54. asnaseer
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    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.

    • 2 years ago
  55. karatechopper
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    so u mean they can be to the power of any number?

    • 2 years ago
  56. asnaseer
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    if I say anymore I will give the answer away :-)

    • 2 years ago
  57. karatechopper
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    hmmmmmmmm

    • 2 years ago
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