July 19th, 2019, 08:49 AM  #121  
Global Moderator Joined: Dec 2006 Posts: 20,941 Thanks: 2210  Quote:
For a factorization such as 6 = (√7 + 1) × (√7  1), your process of repeatedly factoring until an irrational factor is reached is unnecessary, because both factors are already irrational. Hence your alleged proof fails, because 6 is rational.  
July 21st, 2019, 04:14 PM  #122  
Member Joined: Mar 2019 From: california Posts: 74 Thanks: 0  Quote:
Here is the counter statement sqrt(7 +1) x sqrt(71) is not equal to 6. The answer to 2 decimal places is 6.88. And the answer is irrational, not rational. There is a vast difference between sqrt (X) +1 and sqrt (x +1)  
July 21st, 2019, 04:41 PM  #123  
Senior Member Joined: Aug 2012 Posts: 2,357 Thanks: 740  Quote:
Just curious, how come you appreciate some people's efforts, but think I'm personally trying to steal your work? Why aren't they trying to steal your work? They must be more discerning than me.  
July 21st, 2019, 06:18 PM  #124  
Global Moderator Joined: Dec 2006 Posts: 20,941 Thanks: 2210  Quote:
Using that convention, (√7 + 1)(√7  1) = (√(7) + 1)(√(7)  1) = 6 and your "proof" remains flawed, as it fails to consider such a factorization of a rational as a product of two irrationals.  
July 22nd, 2019, 10:07 AM  #125 
Senior Member Joined: Feb 2010 Posts: 711 Thanks: 147 
Apparently he still has not found a bright 13 year old yet.

July 24th, 2019, 06:02 PM  #126  
Member Joined: Mar 2019 From: california Posts: 74 Thanks: 0  Quote:
You claim that the 2 irrationals, when multiplied together must be a rational (X^1/n+1 + 1) x (X^1/n+1 1) Let's assume that So (X^1/n+1 + 1) is an irrational. So let's assign a variable I to represent this relationship. (X^1/n+1 + 1) = I if we square both sides it becomes X^1/n + 2 (X^1/n+1 + 1) + 1 = I^2 (X^1/n+1 + 1) is irrational, remember. So X^1/n is an irrational number too? Do I have to spell it out for you? Replace X^1/n with h x e/f So the assumption of the irrationals multiplied together brings forth the result h x e/f + 1 is irrational. Thus one or more of X,Y,Z is irrational. Do you have anything else? Last edited by skipjack; July 24th, 2019 at 08:50 PM.  
July 24th, 2019, 06:13 PM  #127  
Member Joined: Mar 2019 From: california Posts: 74 Thanks: 0  Quote:
So if you are going to behave, I will ask you again. What do you think of the so far?  
July 24th, 2019, 06:38 PM  #128  
Math Team Joined: May 2013 From: The Astral plane Posts: 2,258 Thanks: 929 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
Dan Last edited by skipjack; July 24th, 2019 at 08:50 PM.  
July 24th, 2019, 08:57 PM  #129 
Global Moderator Joined: Dec 2006 Posts: 20,941 Thanks: 2210  
July 25th, 2019, 09:14 AM  #130 
Senior Member Joined: Feb 2010 Posts: 711 Thanks: 147  I don't know how YOU are interpreting X^1/n+1 + 1 but I can't see any interpretation that yields X^1/n + 2 (X^1/n+1 + 1) + 1 when you square it. Perhaps the 13 year old can help you with squaring polynomials as well as latex.


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analysis, diophantine, diopphantine, fermat, theorem 
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