Question Number 195116 by SajaRashki last updated on 24/Jul/23
$${hi}.\:{please}\:{represntation}\:\sqrt[{\mathrm{3}}]{\mathrm{2}}\:{on}\:{number}'{s}\:{axis} \\ $$$${with}\:{ruler}\:{and}\:{compass}\:{and}\:{pen}. \\ $$$${thank}\:{you} \\ $$
Commented by Frix last updated on 25/Jul/23
$$\mathrm{Impossible}. \\ $$
Commented by TheHoneyCat last updated on 03/Aug/23
The reason for that begin that in Euclidean Geometry, one can only place point whose coordinates are roots of polynomials of degree 2. On can easily show that you value is no such number. However, it might be possible using an additional axiom from folding theory. (But I'm no expert in this domain, so don't trust me on that last part).