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Placing the Square Root of 2 on the Number Line

Placing the Square Root of 2 on the Number Line
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2016-09-25 15:58
Coordinate GeometryGeometric Construction
This example demonstrates how to place the square root of 2 on the number line. Key mathematical concepts include real numbers and geometric construction. Using GeoGebra commands such as Intersect, Point, Segment, and Circle, the exact position of the square root of 2 can be found. Suitable for students at the junior high school level and above, focusing on real numbers and geometric construction.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Segment(A, B) → f
  4. Point(yAxis) → C
  5. Segment(C, A) → g
  6. Segment(C, D) → h
  7. Segment(D, B) → i
  8. Circle(A, D) → c
  9. Point(c) → E
  10. Intersect(c, xAxis, 2) → F
  11. Circle(A, G) → d
  12. Point(c) → H
  13. Segment(A, H) → j