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Perfect square is an element of algebraic structure which is equal to the square of another element.
- Square number, a perfect square integer
- Perfect Square, a live recording by the band R.E.M.
- Perfect Square (publisher), a children's imprint label by Viz Media.
- Perfect square dissection, a dissection of a geometric square into smaller squares, all of different sizes
- Perfect square trinomials, a method of factoring polynomials
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