Statements about addition, multiplication and exponentation with rational and irrational number. For every rational number x and every irrational number y, x+y is irrational.

fabler107

fabler107

Answered question

2022-11-18

Statements about addition, multiplication and exponentation with rational and irrational numbers
For every rational number x and every irrational number x + y is irrational.

Answer & Explanation

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x0xkatiex0xz6u

Beginner2022-11-19Added 11 answers

Here is a proof. Towards a contradiction suppose that x + y is rational. Then since x is rational, x + y x = y is rational, a contradiction.

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