Proof - The Square Root of 2 is Irrational

Channel:
United States Introspective Thinker
Subscribers:
1,250
Published on ● Video Link: https://www.youtube.com/watch?v=qaT9xSn3HQ0


Duration: 7:29
214 views
3

In this video, I will be proving that the square root of 2 is irrational by proving that the square root of any prime number is irrational. I will also show that the square root of the product of distinct primes is irrational.

0:44 Starting Assumptions/Results
1:38 Proof 1
4:38 Lemma
5:31 Proof 2




Background Music Stellar Wind by Unicorn Heads from YouTube Audio Library

End Card Image by Mario Aranda from Pixabay: https://pixabay.com/photos/math-numbers-number-counting-5247958/



Other Videos By Introspective Thinker


2023-02-23The Long Dark (Interloper) - Episode 15: Hauling Across Mystery Lake
2023-02-21The Long Dark (Interloper) - Episode 14: Time for Scrap!
2023-02-18The Long Dark (Interloper) - Episode 13: The Forestry Lookout
2023-02-15The Long Dark (Interloper) - Episode 12: Leaving Mountain Town
2023-02-13The Long Dark (Interloper) - Episode 11: A Midnight Stroll
2023-02-12(800 Elo) Chess - Episode 1
2023-02-11The Long Dark (Interloper) - Episode 10: First Wolf Attack
2023-02-11Python 3 - How to Create a Decorator
2023-02-09The Long Dark (Interloper) - Episode 9: Distress Pistol in the Bathtub
2023-02-07The Long Dark (Interloper) - Episode 8: Trapper's Homestead
2023-02-06Proof - The Square Root of 2 is Irrational
2023-02-05The Long Dark (Interloper) - Episode 7: Lost in Literature
2023-02-04Highway to Helsinki (Guitar Cover) - The Yousicians
2023-02-03The Long Dark (Interloper) - Episode 6: Looting the Dam
2023-02-02Dirty Little Secret (Guitar Cover) - The All-American Rejects (Yousician Version)
2023-02-01The Long Dark (Interloper) - Episode 5: Aurora Campfire on the Dam
2023-01-30The Long Dark (Interloper) - Episode 4: Leaving Pleasant Valley
2023-01-29How to Create Your Own Programming Language - Episode 4: The Interpreter
2023-01-28How to Create Your Own Programming Language - Episode 3: The Parser
2023-01-27The Long Dark (Interloper) - Episode 3: Traveling to Signal Hill
2023-01-25The Long Dark (Interloper) - Episode 2: Prepper's Abandoned Cache


Tags:
math
proof
irrational
set theory
logic
explanation