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In mathematics, a square serves multiple roles, primarily as a geometric shape and an algebraic concept. Geometrically, a square is a quadrilateral with equal sides and right angles, serving as a fundamental shape in geometry. Algebraically, "squaring" a number means multiplying it by itself, which is a key operation in various mathematical contexts, including solving equations and analyzing functions. Squares also play a role in number theory and coordinate geometry, contributing to concepts such as the Pythagorean theorem and the distance formula.

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