The expression you've given is:

$\imaginaryI2\sqrt{3} + \imaginaryI2\sqrt{3}$

Since both terms involve $\imaginaryI$, which is the imaginary unit ( $\imaginaryI = \sqrt{-1}$ ), you can factor out the common terms:

$\imaginaryI ( 2\sqrt{3} + 2\sqrt{3} )$

Now, simplify the terms inside the parentheses:

$2\sqrt{3} + 2\sqrt{3} = 4\sqrt{3}$

So, the expression becomes:

$\imaginaryI 4\sqrt{3}$

Thus, the result is:

$4\imaginaryI\sqrt{3}$

This is a purely imaginary number with magnitude $4\sqrt{3}$ and no real part.

Would you like more details on imaginary numbers or further questions related to this? Here are a few suggestions:

1. How do you add or subtract complex numbers in general?
2. What does it mean geometrically to multiply by the imaginary unit $\imaginaryI$?
3. How do you convert a complex number into polar form?
4. What is the conjugate of a complex number, and why is it useful?
5. Can you explain the real and imaginary parts of complex numbers?

Tip: When simplifying expressions involving $\imaginaryI$, remember to treat it like a variable, but keep in mind that $\imaginaryI^2 = -1$.