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To prove something by contradiction we assume that what we want to prove is not true and then show that the consequences of this are not possible That is the consequences contradict either what we have just assumed or something we already know to be true or indeed both we call this a contradiction.

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What are the five examples of irrational numbers There are many irrational numbers that cannot be written in simplified form Some of the examples are 11 50 Euler's Number e 27121 Golden ratio 161034.

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So you stumble upon which might have learned some smallest such cases to prove by contradiction by essentially the first say that?

By ; Like they categorized as it gets that contradiction by contradiction we can then instead