representing this complex fracture into exponent

[nhrock3]

\frac{2i}{2+i}

i don know how to separate the complex and imaginary part of this fracture?

[Mentallic]

I feel stupid for actually googling fracture in mathematics to try understand this terminology. You mean fraction! :smile:

What you need to do is use the complex conjugate to rid yourself of the complex number in the denominator of this fraction.

It basically works like this: given a complex number a+ib then if you multiply this by the complex conjugate a-ib you get (a+ib)(a-ib)=a^2+b^2 which is a real number.

Don't forget to multiply the numerator by the complex conjugate also to keep things balanced :wink: