watchmath
  • watchmath
Lets play some game! Create integers starting from 1 using exactly four of 4. You may use some standard math notaton : plus,minus, square root, factorial , multiplication, division. You can only proceed to work with the number \(n\) if you (or someone else) already did the \(n-1\).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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watchmath
  • watchmath
Let me start: \(1=4-4+\frac{4}{4}\)
anonymous
  • anonymous
\[(\log_{4} 4)^{4^{4}}\]
watchmath
  • watchmath
Thanks Daniel, please mention what the number is equal to :D

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More answers

anonymous
  • anonymous
Lol, I did 1 again: \[2= 4/4 + 4/4\]
watchmath
  • watchmath
\(3=\frac{4+4+4}{4}\)
watchmath
  • watchmath
\[4=4\cdot 4^{4-4}\]
watchmath
  • watchmath
\(5=4+4^{4-4}\) \(6=4+\frac{4+4}{4}\) \(7=(4\cdot \sqrt{4})-\frac{4}{4}\)
anonymous
  • anonymous
\[8 = \sqrt{4}*\sqrt[4]{4^4}\]
watchmath
  • watchmath
\(9=4+4+\frac{4}{4}\)
anonymous
  • anonymous
\[10 = \sqrt{4*4*4}+\sqrt{4}\]
watchmath
  • watchmath
\[11=\frac{4!}{\sqrt{4}}-\frac{4}{4}\] \[12=4+4+\sqrt{4}+\sqrt{4}\] \[13=\frac{4!}{\sqrt{4}}+\frac{4}{4}\]
anonymous
  • anonymous
\[14 = 4!*\sqrt{4}/4 + \sqrt{4}\]
watchmath
  • watchmath
\(15=\frac{44}{4}+4\)
anonymous
  • anonymous
16=4*4*4/4
anonymous
  • anonymous
17=(4*4)+(4/4)
anonymous
  • anonymous
\[18 + \sqrt{4}*\sqrt{4}*4 + \sqrt{4}\]
anonymous
  • anonymous
\[19 = 4! - 4 - 4/4\]
anonymous
  • anonymous
\[20 = 4*(4+\log_{4}4) \]
watchmath
  • watchmath
\(21=4!-4+\frac{4}{4}\)
anonymous
  • anonymous
4!/4*4-\[\sqrt{4}\]
watchmath
  • watchmath
Let me rewrite metarock result \(22=\frac{4!}{4}\cdot 4-\sqrt{4}\)
anonymous
  • anonymous
\[23=4!-\sqrt{4} + 4/4\]
anonymous
  • anonymous
24=4*4 + 4 + 4
anonymous
  • anonymous
\[24 = 4*(4*\sqrt{4}-\sqrt{4})\]
anonymous
  • anonymous
\[25 = 4! + \sqrt{4}-4/4\]
watchmath
  • watchmath
\[25=4!+\frac{\sqrt{4\cdot 4}}{4}\]
watchmath
  • watchmath
\[26=4!+\frac{4+4}{4}\]
watchmath
  • watchmath
\[27=4!+4-\frac{4}{4}\]
anonymous
  • anonymous
28=4!*4/4 + 4
watchmath
  • watchmath
\(29=4!+4+\frac{4}{4}\)
anonymous
  • anonymous
\[30=4!+4+\sqrt{4}\]
watchmath
  • watchmath
Need to use four of 4 metarock!
anonymous
  • anonymous
sorry
anonymous
  • anonymous
30\[30=4!+\sqrt{4}+\sqrt{4}+\sqrt{4}\]
anonymous
  • anonymous
watchmath if i want to chat with u should i open the group chat below?
watchmath
  • watchmath
sure
watchmath
  • watchmath
\[31=(\sqrt{\sqrt{\sqrt{4^{4!}}}}/-\sqrt{4} )/\sqrt{4}\]
anonymous
  • anonymous
too good probably this is the toughest one
watchmath
  • watchmath
\(32=4\cdot 4 + 4\cdot 4\) \(33=(\sqrt{\sqrt{\sqrt{4^{4!}}}}+\sqrt{4})/\sqrt{4}\)
watchmath
  • watchmath
\(34=\left (\sqrt{\sqrt{\sqrt{4^{4!}}}} \right )/\sqrt{4}+\sqrt{4}\)
anonymous
  • anonymous
combinations of this can flit an 320 GB pc memory :P
watchmath
  • watchmath
You want to continue to play? Try 35
anonymous
  • anonymous
:P ok i try
watchmath
  • watchmath
Ah maybe I don't know 35 either :(
watchmath
  • watchmath
I know it :D
anonymous
  • anonymous
\[\sum_{4}^{8}n \] mybe try this xd
watchmath
  • watchmath
But you can't use 8 :)
anonymous
  • anonymous
wathcmath how old are you?
watchmath
  • watchmath
very old so don't ask :D :D
anonymous
  • anonymous
4+4 =8 i tihnk i can use xd
anonymous
  • anonymous
just say xd
watchmath
  • watchmath
Ok, but then you run out of your 4
anonymous
  • anonymous
no :( there are 4 fours ^^
anonymous
  • anonymous
and I am 14 years old ^^or we can say 13,9911
anonymous
  • anonymous
13,8911*
watchmath
  • watchmath
How's life in Turkey?
anonymous
  • anonymous
really nice :) i am happy in there ^^
anonymous
  • anonymous
ad nd i lreally liked that site :) i learned limit and multiply today ^^ with the help of this site ^^
watchmath
  • watchmath
you can visit my site too and tell me what you think http://ask.watchmath.com
anonymous
  • anonymous
okay but how old are you ?
anonymous
  • anonymous
:D :D
nowhereman
  • nowhereman
Ok, maybe you see this as cheating, but I wrote a short python script (46lines) that does find these things with at most 4 4's. I limited it to intermediate results of 100 so I got none for 33. But for 31 there's a nicer one: \[31 = 4! + \frac{4!+4}{4}\]
watchmath
  • watchmath
wow! that's good nowhereman I wish I can do programming.
anonymous
  • anonymous
WIOW!
watchmath
  • watchmath
I want to learn programming, is python a good way to start?
nowhereman
  • nowhereman
It's easy to use and has many advances features, but I think for the beginner it is not strict enough. For example you have very loose typing of variables. On the other hand the syntax is really nice. I'll just append the script, if you want to have a look :-)
1 Attachment
watchmath
  • watchmath
Are you doing your diplom right now nowhereman? typically how long does it takes?
nowhereman
  • nowhereman
Here in germany, it normally takes 9 semester. But I'm one of the last ones to do a diplom. Now they all do bachelors/masters which take 6+4 semester mostly.
watchmath
  • watchmath
Then how much longer to get a doctorate? It seems you are interested in functional analysis :)
nowhereman
  • nowhereman
Anything up from 2 years I guess; but I'm not completely sure if I want to go that path yet :-)
watchmath
  • watchmath
How many more years for you to finish your diplom?

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