Given that x is a constructible number, how does one prove that 1/x is constructible? Moreover, what might be one's train of thought when coming up with the proof.
2026-03-29 12:40:39.1774788039
Given that x is a constructible number, how does one prove that 1/x is constructible?
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You need a unit length.
Create a triangle with sides 1 and x. The other side doesn't matter.
Then create a similar triangle with the side corresponding to x having length 1.
The side corresponding to 1 then has length 1/x.