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What is a Square Root?

What is a Square Root?
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2019-07-17 21:50
Coordinate GeometryOptimizationGeometric Construction
This example demonstrates the concept of a square root. It involves the core mathematical concept of square roots. Using GeoGebra commands such as Point, Segment, and Polygon, a geometric figure is constructed to visually illustrate the meaning of square roots. Suitable for middle school mathematics education.

GeoGebra Commands & Parameters

  1. Point(Circle[A, n]) → D
  2. Segment(A, D) → a
  3. Point(Circle[B, n]) → E
  4. Segment(B, E) → b
  5. Segment(A, B) → c
  6. Segment(D, E) → d
  7. Polygon(A, D, E, B) → poly1, a_1, d_1, e, b_1
  8. Polygon((-2, 3), (-2, y(B - 1 - sqrt(n))), (x(B + sqrt(n)), y(B - 1 - sqrt(n))), (x(B + sqrt(n)), y(B - 1))) → poly2, f, g, h, i
  9. Polygon(C, F, G, H) → poly3, c_1, f_1, g_1, h_1