Here is the Argand diagram displaying the radius vector corresponding to the complex number $(1+i)^2 = 2i$. The radius vector starts at the origin and points upward to the point $2i$ on the imaginary axis.

Do you have any questions or would you like further details?

Here are 5 related questions you might consider:

1. What happens when other complex numbers are squared on the Argand diagram?
2. How would you plot $(1+i)^3$ on the Argand diagram?
3. What does multiplying a complex number by $i$ do to its position on the diagram?
4. How do you convert a complex number from Cartesian form to polar form?
5. What is the geometric interpretation of squaring a complex number?

Tip: Squaring a complex number geometrically doubles its angle and squares its magnitude.