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Hello! I have a friend who needs some help getting this problem. I'm afriad I am a little unavailable to help currently, so I had to come to you guys, since I know you are the best! Any help or info that can be provided is greatly appreciated. I sincerely thank you all for all that you do and all the time you deticate to helping us all. Have a nice day and thank you in advance!

 

 

Guest Mar 21, 2018
 #1
avatar+627 
+1

Alright, here we go:

 

In n/m, both are relatively prime and cannot simplify the fraction. 

 

To prove that √3 is irrational from n^2 = 3m^2

 

From n^2 = 3m^2, we can say that n is a multiple of 3, since there is a 3 on the right side of the equation. 

 

We can set n equal to 3k

 

So n^2 = 9k^2 = 3m^2

 

3k^3 = m^2

 

So this means that m is also a multiple of 3.

 

In the beginning we stated that they are relatively prime and cannot simplify, but if both are n and m are multiples of 3, how is this possible?

 

This leads to a contradiction. 

supermanaccz  Mar 21, 2018
 #2
avatar+627 
0

may you please type out the second part, I cannot read it :)

supermanaccz  Mar 21, 2018

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