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watchmath
 5 years ago
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 \(n1\).
watchmath
 5 years ago
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 \(n1\).

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watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1Let me start: \(1=44+\frac{4}{4}\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[(\log_{4} 4)^{4^{4}}\]

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1Thanks Daniel, please mention what the number is equal to :D

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Lol, I did 1 again: \[2= 4/4 + 4/4\]

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1\(3=\frac{4+4+4}{4}\)

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1\(5=4+4^{44}\) \(6=4+\frac{4+4}{4}\) \(7=(4\cdot \sqrt{4})\frac{4}{4}\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[8 = \sqrt{4}*\sqrt[4]{4^4}\]

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1\(9=4+4+\frac{4}{4}\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[10 = \sqrt{4*4*4}+\sqrt{4}\]

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1\[11=\frac{4!}{\sqrt{4}}\frac{4}{4}\] \[12=4+4+\sqrt{4}+\sqrt{4}\] \[13=\frac{4!}{\sqrt{4}}+\frac{4}{4}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[14 = 4!*\sqrt{4}/4 + \sqrt{4}\]

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1\(15=\frac{44}{4}+4\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[18 + \sqrt{4}*\sqrt{4}*4 + \sqrt{4}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[19 = 4!  4  4/4\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[20 = 4*(4+\log_{4}4) \]

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1\(21=4!4+\frac{4}{4}\)

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1Let me rewrite metarock result \(22=\frac{4!}{4}\cdot 4\sqrt{4}\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[23=4!\sqrt{4} + 4/4\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[24 = 4*(4*\sqrt{4}\sqrt{4})\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[25 = 4! + \sqrt{4}4/4\]

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1\[25=4!+\frac{\sqrt{4\cdot 4}}{4}\]

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1\[26=4!+\frac{4+4}{4}\]

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1\[27=4!+4\frac{4}{4}\]

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1\(29=4!+4+\frac{4}{4}\)

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1Need to use four of 4 metarock!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.030\[30=4!+\sqrt{4}+\sqrt{4}+\sqrt{4}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0watchmath if i want to chat with u should i open the group chat below?

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1\[31=(\sqrt{\sqrt{\sqrt{4^{4!}}}}/\sqrt{4} )/\sqrt{4}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0too good probably this is the toughest one

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1\(32=4\cdot 4 + 4\cdot 4\) \(33=(\sqrt{\sqrt{\sqrt{4^{4!}}}}+\sqrt{4})/\sqrt{4}\)

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1\(34=\left (\sqrt{\sqrt{\sqrt{4^{4!}}}} \right )/\sqrt{4}+\sqrt{4}\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0combinations of this can flit an 320 GB pc memory :P

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1You want to continue to play? Try 35

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1Ah maybe I don't know 35 either :(

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\sum_{4}^{8}n \] mybe try this xd

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1But you can't use 8 :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0wathcmath how old are you?

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1very old so don't ask :D :D

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.04+4 =8 i tihnk i can use xd

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1Ok, but then you run out of your 4

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no :( there are 4 fours ^^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and I am 14 years old ^^or we can say 13,9911

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1How's life in Turkey?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0really nice :) i am happy in there ^^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ad nd i lreally liked that site :) i learned limit and multiply today ^^ with the help of this site ^^

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1you can visit my site too and tell me what you think http://ask.watchmath.com

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay but how old are you ?

nowhereman
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, 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
 5 years ago
Best ResponseYou've already chosen the best response.1wow! that's good nowhereman I wish I can do programming.

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1I want to learn programming, is python a good way to start?

nowhereman
 5 years ago
Best ResponseYou've already chosen the best response.0It'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 :)

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1Are you doing your diplom right now nowhereman? typically how long does it takes?

nowhereman
 5 years ago
Best ResponseYou've already chosen the best response.0Here 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
 5 years ago
Best ResponseYou've already chosen the best response.1Then how much longer to get a doctorate? It seems you are interested in functional analysis :)

nowhereman
 5 years ago
Best ResponseYou've already chosen the best response.0Anything up from 2 years I guess; but I'm not completely sure if I want to go that path yet :)

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1How many more years for you to finish your diplom?
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