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Why are square roots so fundamental?

Why are square roots (and squared quantities) so important in physics, mathematics, and all over science? Whether it's the area of a circle, the quadratic formula, the Pythagorean theorem or The Grand Design/The Theory of Everything (Hawking), this seemingly arbitrary X times X has implications everywhere! Why not (2x - 1)? Why not (x cubed minus x)?


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John Connor (connorj) says

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3 years ago
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