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Please let me excuse first. It is embarrassing but I know nothing about math; but when I played with the square numbers with my calculator while slacking of my paper work yesterday (like, press 4 then √, then 9 and √, 16 and √; continuously until I got bored~ haha...), it happened to extend further.. (please see the photos)

Excuse me if it looks confusing and messy, I have no idea what I was writing, too

I just found it interesting and quite fun, and it made my brain fresh. I want to read about it but I do not know how to search for it, I do not know any key words or what is it about, because I threw math back to the teacher's face since I finished high school . Nearly 20 years ago...

I would like to ask what is this kind called, and can I have some links to tables like this to learn it more, please.

(Is this even math... I wonder...)

Thank you in advanced!

P.S. I cannot embed the photos yet, please follow the links.

(Picture 1) (Picture 2) (Picture 3) (Picture 4) (Picture 5) (Picture 6)

PacharapanK
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    A few things. Don't apologize about not knowing math, we all started from zero at some point. I like the kinds of ideas you are thinking about, but the pictures are a little hard to read (cute doodles, though). If you could typeset the ideas, that would be great. – Rushabh Mehta Oct 28 '19 at 04:09
  • Thank you very much Don. I will try to typeset them as well as I can (or write them in more organized way...) and once it is done, I will come back to explain it again!

    P.S. The doodles are not mine xD they are printed on the notebook. They are Gudetama xDD

     – PacharapanK Oct 28 '19 at 04:23
  • Don, I've posted them already. Could you please give them a look again, please? https://math.stackexchange.com/questions/3412849/continue-about-square-numbers – PacharapanK Oct 29 '19 at 04:44
  • I'm sleepy. Tomorrow if I have time. – Rushabh Mehta Oct 29 '19 at 04:44
  • Yes, it doesn't mean right after I said xD Thank you, Don. – PacharapanK Oct 29 '19 at 10:22
  • You calculated so-called square-roots. The square root of a non-negative number $\ x\ $ is defined as the (unique) non-negative number $\ y\ $ which satisfies $\ y^2=x\ $ and the notation is $\ \sqrt{x}\ $. Is this what you are asking for ? – Peter Nov 07 '19 at 13:45
  • Nope, Peter, but thank you so much :D – PacharapanK Nov 20 '19 at 17:39

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