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Line 8: == Constructible numbers == {{main article\|Constructible number}} One way of specifying a real number uses geometric techniques. A real number ''r'' is a constructible number if there is a method to construct a line segment of length ''r'' using a compass and straightedge, beginning with a fixed -line segment of length 1. Each positive integer, and each positive rational number, is constructible. The positive square root of 2 is constructible. However, the cube root of 2 is not constructible; this is related to the impossibility of [[doubling the cube]].

Definable real number: Difference between revisions