Can we find any base, in which, a rational number

telegrafyx

telegrafyx

Answered question

2022-06-22

Can we find any base, in which, a rational number is written as a irrational number?

Answer & Explanation

mallol3i

mallol3i

Beginner2022-06-23Added 20 answers

Choose a transcendental number as base.
Any periodic or finite representation will lead to a fraction involving e, but they are all irrational (in the ordinary sense), so a rational number (in the ordinary sense) between 0 and 1 cannot represented that way.

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