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221 sats \ 1 reply \ @MalwareLab 25 Sep 2024
Nice puzzle, with simple rewriting the fraction we can get all denominators equals to 1 and then we will get the telescope... So, the sum is equals to \sqrt{121} - \sqrt{0} = 11 :-)
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0 sats \ 0 replies \ @WeAreAllSatoshi 25 Sep 2024
Yep, this is what I did, too! Too hard to write in text form here...
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107 sats \ 2 replies \ @Undisciplined 24 Sep 2024
10
Rationalize the denominator and then you get a telescoping series.
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33 sats \ 1 reply \ @south_korea_ln OP 24 Sep 2024
You must have made a small mistake in the cancellations... but telescoping series is correct indeed.
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0 sats \ 0 replies \ @Undisciplined 24 Sep 2024
You're right. I was doing it in my head and I started at 1 instead of 0, for some reason.
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120 sats \ 3 replies \ @0xbitcoiner 24 Sep 2024
Could it be any easier? 🤠If I had to guess, I'd say 11.
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32 sats \ 2 replies \ @south_korea_ln OP 24 Sep 2024
Your educated guess is correct.
Yeah, this one is pretty easy, especially if you went through some basic math courses. As I plan on doing this daily, proper difficulty and fun-factor will be hit or miss.
I also just put it in ChatGPT, it properly reasons and gives the intermediate steps to get to this correct final result.
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0 sats \ 1 reply \ @0xbitcoiner 24 Sep 2024
Actually, I didn't know! gpt said it was 11 ðŸ¤
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0 sats \ 0 replies \ @south_korea_ln OP 24 Sep 2024
:)
Maybe I should wait a bit before confirming the validity of an answer in the next iterations...
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0 sats \ 0 replies \ @south_korea_ln OP 26 Sep 2024
Answer given by ChatGPT for anyone wondering what it actually looks like when writing out the telescoping series.
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0 sats \ 0 replies \ @WeAreAllSatoshi 25 Sep 2024
@remindme in 12 hours
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