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Definition: square from Philip's Encyclopedia

In geometry, rectangle with four sides of the same length. In arithmetic or algebra, a square is the result of multiplying a quantity by itself: the square of 3 is 9, and the square of x is x2.

Summary Article: square
from The Hutchinson Unabridged Encyclopedia with Atlas and Weather Guide

In geometry, a quadrilateral (four-sided) plane figure with all sides equal and each angle a right angle. Its diagonals bisect each other at right angles. The area A of a square is the length l of one side multiplied by itself (A = l × l).

Also, any quantity multiplied by itself is termed a square, represented by an exponent of power 2; for example, 4 × 4 = 42 = 16 and 6.8 × 6.8 = 6.82 = 46.24.

An algebraic term is squared by doubling its exponent and squaring its coefficient if it has one; for example, (x2)2 = x4 and (6y3)2 = 36y6. A number that has a whole number as its square root is known as a perfect square; for example, 25, 144, and 54,756 are perfect squares (with roots of 5, 12, and 234, respectively).


Calculating powers and square roots

Angles in a polygon

Pythagoras' theorem: working out angles


BEATCALC: Beat the Calculator



squares, cubes, square roots, and cube roots

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