Displaying Radical Numbers on the Number Line

① This GeoGebra example demonstrates how to precisely locate radical numbers (such as √2, √3) on the number line using geometric construction, making irrational numbers visually tangible. ② The core mathematical concept is the geometric representation of square roots: by constructing right triangles whose hypotenuse equals the desired radical length (via the Pythagorean theorem), the irrational value is transferred onto the axis. ③ Construction details: the example employs Textfield for numeric input, Intersect to find perpendicular foot points, Polygon to build right triangles, OrthogonalLine for perpendiculars, Circle and CircleArc to transfer lengths, and multiple labeled points and polygons to iteratively construct successive radicals. ④ This resource is ideal for middle-to-high school students learning irrational numbers and for teachers demonstrating the geometric meaning of radicals in an interactive classroom setting.