Geometric proof of sqrt(2) is irrational, NON-classic method 1

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Geometric proof of sqrt(2) is irrational, NON-classic method 1
Geometric proof of sqrt(2) is irrational, NON-classic method 2

Chapters:
0:00 Start
2:10 An example to explain a CORE logic step of this proof
4:17 Continue with the geometric step
  1. Math Solving Channel
  2. sqrt(2) is irrational
  3. irrational
  4. sqrt(2)
  5. proof
  6. sqrt(2) irrational proof
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Комментарии
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Subscribe and you will find more original contents on math that probably never seen before 😊

MathSolvingChannel
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Hi dear, you made the whole square root of two explanation very clear. Your explanation finally solved my years of confusion and proved that the square root of 2 is irrational and we can prove it geometrically. I hope you can post more explanations and popular mathematical videos in the future.

jiexu
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Nice job, my friend. I've never seen this kind of proof before. Very clever and geometric. I might actually use it for my math honors class.

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I might be too tired and maybe this is obvious, but we start with {n, n, m} and get a new set {m-n, m-n, 2n-m}. Is it obvious without demonstration that m-n<n?

In general though very cool video!

patrickpablo
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My wife just came up with an idea how you could make this beautiful proof even shorter: to arrive at m^2 = n^2 + n^2 with smallest m, you don't need any triangles or Pythagorean's theorem. Then you can draw directly a square with side length m and put the two smaller n-squares inside to arrive at a contradiction. Or are we missing sth.? Kind regards.