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7:37 PM
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Q: Let's make a huge number with only tiny numbers (pt3)

CrSb0001Previous huge out of tiny puzzle by TerriblyDrawn Using only four ones, four twos, and five fives (1, 1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 5, 5), can you make the complex number$$51+5i\sqrt5$$You can use all mathematical operations you know (i.e floor, factorial, multifactorial, powers/indicessee restr...

mathematics
 
CrSb0001
CrSb0001
well okay I guess it's not that big for what we could make with those numbers but it's still pretty big I guess :\
@WeatherVane Yes, sorry for not clarifying that.
@WeatherVane Ah, I should probably have clarified a bit more, but yes, that would be allowed.
 
Weather Vane
Weather Vane
Thanks for clarifying!
 
CrSb0001
CrSb0001
@WeatherVane Most definitely welcome! I'm just really horrible at creating these puzzles, so any feedback is most definitely appreciated!
 
Weather Vane
Weather Vane
Interesting restriction on √ not allowed.
 
CrSb0001
CrSb0001
@WeatherVane It's because$$a^{1/2}=\sqrt a\because a^{1/b}\gets\sqrt[b]a\quad\forall b\in\mathbb R,b\ne0$$so I just don't want anyone abusing that power.
 
Weather Vane
Weather Vane
7:37 PM
Also, are we allowed to use $i$? Or must it be $\sqrt{-1}$ ?
 
CrSb0001
CrSb0001
That's $\sqrt{-1}$, yes
 
Weather Vane
Weather Vane
I edited that, because we con't use sqrt.
But again there isn't a clear answer: is i allowed?
 
CrSb0001
CrSb0001
Yes, $i$ is allowed. You just have to get it using $\sqrt{-1}$ somehow.
 
Weather Vane
Weather Vane
Or must we use the power of -1
This is getting tedious. Can the symbol i appear in the solution?
Yes or no.
 
CrSb0001
CrSb0001
Yes, it can.
Also, for your comment before being moved to chat: You can use (-1)^.5, yes, and sorry about the confusion.
 
Weather Vane
Weather Vane
7:44 PM
Obviously we could use the square root of -1, but must we.
 
CrSb0001
CrSb0001
Yes, you have to use it.
 
Weather Vane
Weather Vane
So we can't use the symbol i then?
 
CrSb0001
CrSb0001
Okay I have no idea what I'm saying in all honestly
But yes, you can use <i>i</i> if you want to.
 
Weather Vane
Weather Vane
You found only one solution. Did it use the symbol i?
 
CrSb0001
CrSb0001
Yes, it did (since it's a complex number)
 
Weather Vane
Weather Vane
7:49 PM
Sorry but I'm struggling to get a definitive rule amongst the contradictions. You've said we must use the (-1)^.5 and also said we can use i. Which is it?
 
CrSb0001
CrSb0001
Oh sorry, I must've meant you could use either, but sorry about all of the confusion.
 
Weather Vane
Weather Vane
Thanks. Obviously i will appear in the working proof, but it can also appear in the actual answer, which could be (for example) "2 + 5i" and of course all the other numbers needed.
 

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