How To Calculate Any Square Root. An Ancient Method That Powers Modern Computers
2.1M views · Nov 18, 2024 · Science & Technology
Comments · 1.8K
@christopherinman6833 · 1 year ago · pinned
Thanks!
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@luisfilipe2023 · 1 year ago
We don’t give ancient people nearly as much credit as they deserve
4.9K
@soul_manager · 1 year ago
Everytime I will think that I am smart, I would always remember about ancient people who came up with this.
2.2K
@ericfielding668 · 1 year ago
My parents (now in their eighties) were taught the square root by hand method in grade 4. I learned it in my 40s when reading a book on abacus calculations. I wasn't quite sure why the algorithm worked and meant to derive a proof eventually. What you presented here is essentially the same algorithm. So now I don't have to figure it out. THANKS!
3.9K
@antiphoton · 1 year ago
<a href="https://www.youtube.com/watch?v=MXveVqBxFow&t=260">4:20</a> putting 69 at this time stamp is amazing
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@Neil-kj · 1 year ago
BUT WHY SHOULD WE STOP HEEEEERE!!!???
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@fignewton1411 · 1 year ago
I remember using this method in college. In those days (early 70s) calculators were just coming out and had limited functionality. Mine was a Comodore something which I paid over $90 for. It had no square root function, just add, subtract, multiply and divide. Plus if you moved a switch, you could store the display in memory. I was the only one in my class who had one. I would run through the formula the first time, store the result in memory and use that value for the guess for the second run. Amazing results. My classmates were using their slide rules! Actually I would use my own slide rule for the first approximation. I had a piece of paper taped to the back of the calculator which gave me the formulas for the trig functions. <br>Just an old man taking a trip down memory lane. Thought I would share. Always enjoy your videos.
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@MegaMinerd · 1 year ago
For large numbers, divide by 100 before and multiply 10 after.<br>√999?<br>√9.99 ≈ 3 + .99/6<br>√999 ≈ 30 + 9.9/6 = 31 + 3.9/6 = 31.65<br>Actual value 31.6069
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@unalbomber · 1 year ago
It completely destroyed my perception of the history of mathematics. Babylonian mathematicians almost 4000 years ago knew mathematics thousands of times better than many people today.
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@Katze336YT · 1 year ago
<a href="https://www.youtube.com/watch?v=MXveVqBxFow&t=330">5:30</a> 111 is closer to 121 than to 100
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@larrygraham3377 · 1 year ago
Hats off to those Babylonians. <br>They really had it going on when it came to math and ASTRONOMY...!!!
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@MAML_ · 1 year ago
WAIT I JUST REALIZED THIS IS THE LINEAR APPROXIMATION!<a href="https://www.youtube.com/watch?v=MXveVqBxFow&t=393">6:33</a>
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