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March 20th, 2018, 07:53 AM  #1 
Newbie Joined: Mar 2018 From: texas Posts: 1 Thanks: 0  Origin of proof of irrationality of square root of two
What is the first known accepted proof of the irrationality of the square root of two or the n root of any prime preferably one that is attributed to someone?

March 20th, 2018, 08:06 AM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,950 Thanks: 1141 Math Focus: Elementary mathematics and beyond  
March 20th, 2018, 08:37 AM  #3 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 
Greg, I saw at that site that a poor demented soul named Ronald Watkins calculated it to 10 trillion digits in June 2016... Using 8 digits per inch: 10,000,000,000 / (5280*12*8 ) = 19728.535353.... So the resulting number would be close to 20,000 miles long 
March 20th, 2018, 09:16 AM  #4 
Senior Member Joined: Jun 2015 From: England Posts: 915 Thanks: 271  

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irrationality, origin, proof, root, square 
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