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← HistoryWhich limitation appears when using medieval Islamic algebra based geometric compass constructions using only straightedge and compass?
A)Duplication of the cube✓
B)Squaring of the circle
C)Trisection of acute angles
D)Solving quartic equations
💡 Explanation
Certain irrational numbers are inconstructible algebra, limiting geometric solutions to equations because straightedge-and-compass constructions only intersect lines/circles. Therefore, duplicating the cube, needing a cubic equation solution, is impossible rather than solving quartics.
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