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tanszek:oktatas:techcomm:mathematical_expressions_in_tex_language

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tanszek:oktatas:techcomm:mathematical_expressions_in_tex_language [2024/09/10 08:54] – [1. Introduction to LaTeX] kissatanszek:oktatas:techcomm:mathematical_expressions_in_tex_language [2024/09/10 08:55] (current) – [5. Exercise] kissa
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 Proof: √2 is Irrational Proof: √2 is Irrational
  
-Assume, for contradiction, that 2 is rational. Then it can be expressed as a fraction a/b, where a and b are coprime integers.+Assume, for contradiction, that 2 is rational. Then it can be expressed as a fraction a/b, where a and b are coprime integers.
  
 Then: Then:
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 This implies that b2 is even, so b must also be even. This implies that b2 is even, so b must also be even.
  
-But if both a and b are even, they are not coprime, which contradicts our original assumption. Therefore, 2 must be irrational.+But if both a and b are even, they are not coprime, which contradicts our original assumption. Therefore, 2 must be irrational.
 </code> </code>
  
tanszek/oktatas/techcomm/mathematical_expressions_in_tex_language.1725958488.txt.gz · Last modified: 2024/09/10 08:54 by kissa