Which numbers are always constructible from a unit length?
AEvery irrational number
BEvery rational number
CEvery cube root number
DEvery transcendental number
Answer & Solution
Correct answer: B. Every rational number
1. Every rational number can be built by dividing and multiplying lengths.
2. Irrational numbers are only constructible if they come from square-root steps.
3. Cube roots and transcendental numbers such as pi are not constructible.
_Source: Wikipedia, Angle trisection, section Proof of impossibility_
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