The Complex Plane

What is the value of the following expression: $$\left(2\sqrt[]{3}\right)^2$$  

What is the value of the following expression: $$\left(\frac{1}{2}\sqrt[]{3}\right)^2$$  

What is the value of the following expression: $$\left(2\sqrt[]{-1}\right)^2$$  

What is the value of the following expression: $$\left(\frac{1}{2}\sqrt[]{-1}\right)^2$$  

Write this imaginary numbers using the number i.

$$-\sqrt[]{-100}$$  

Write this imaginary numbers using the number i.

$$-\sqrt[]{-17}$$  

How do you think you would solve this?

$$i^{15}$$  

When we add a real number and an imaginary number, we get a complex number. The diagram shows where 2 + i is in the complex number plane. What complex number is represented by point A?