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] kissa | tanszek: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, | + | Assume, for contradiction, |
Then: | Then: | ||
Line 209: | Line 209: | ||
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, | + | But if both a and b are even, they are not coprime, which contradicts our original assumption. Therefore, 2 must be irrational. |
</ | </ | ||
tanszek/oktatas/techcomm/mathematical_expressions_in_tex_language.1725958488.txt.gz · Last modified: 2024/09/10 08:54 by kissa