1. The problem states: "The nth roots of unity form a regular polygon on joining on an Argand diagram." We need to determine if this statement is true or false. 2. Recall that the nth roots of unity are the complex solutions to the equation $$z^n = 1$$. 3. These roots can be expressed as $$z_k = \cos\left(\frac{2\pi k}{n}\right) + i\sin\left(\frac{2\pi k}{n}\right)$$ for $$k = 0, 1, 2, ..., n-1$$. 4. Plotting these points on the Argand diagram (complex plane), each root lies on the unit circle at equally spaced angles of $$\frac{2\pi}{n}$$ radians. 5. Connecting these points in order forms a polygon with $$n$$ vertices, all lying on a circle and equally spaced. 6. By definition, a polygon with vertices equally spaced on a circle is a regular polygon. 7. Therefore, the statement is true: the nth roots of unity form a regular polygon on the Argand diagram. Final answer: true