(7+4i)/(8+5i)
You asked:
Evaluate the expression: \(\frac{7 + 4 i}{8 + 5 i}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{7 + 4 i}{8 + 5 i} = \frac{\left(7 + 4 i\right) \left(8 - 5 i\right)}{89} \)
Expanded
\[\frac{7 + 4 i}{8 + 5 i} = \frac{76}{89} - \frac{3 i}{89}\]
Factored
\[\frac{7 + 4 i}{8 + 5 i} = \left(\frac{7}{89} + \frac{4 i}{89}\right) \left(8 - 5 i\right)\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).