Mathematical proof. The sum of a rational number and an irrational number is always an irrational number. || Number theory.
Hello everyone, receive a cordial greeting from me. I am a young mathematician apprentice, Venezuelan and enthusiastic about science in general. At present I am pursuing a "degree in mathematics" career, in which I am in the middle of the degree. On the other hand, I am currently doing research in the area of number theory at the University of Carabobo (UC).
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Next I proceed to carry out the mathematical proof of the problem in question.
- Propositional form of the statement:
- Start and body of the mathematical proof in question:
End of the mathematical proof in question. It is necessary to clarify that the mathematical proof was carried out using the method of proof by "reduction to the absurd".
i) Explanatory and reinforcement video (video made by me):
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