(2+i)/(2-i)

asked by guest
on Jan 27, 2025 at 8:56 am



You asked:

Evaluate the expression: \(\frac{2 + i}{2 - i}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{2 + i}{2 - i} = \frac{\left(2 + i\right)^{2}}{5} \)


Expanded

\[\frac{2 + i}{2 - i} = \frac{3}{5} + \frac{4 i}{5}\]


\(i\) is the imaginary unit, defined as \(i^2 = -1\).