Can every real number be uniquely represented as a sum

wanaopatays

wanaopatays

Answered question

2022-05-27

Can every real number be uniquely represented as a sum of a rational number and an irrational number [ 0 , 1 )?

Answer & Explanation

bideanbarrenaf5

bideanbarrenaf5

Beginner2022-05-28Added 8 answers

A rational number can not be represented as a sum of a rational number and an irrational number because the difference of two rational numbers is rational number. Of course, an irrational number can be represented as a sum of a rational number and an irrational number because an irrational number minus a rational number is again an irrational number.

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