(7+4i)/(8+5i)

asked by guest
on Oct 25, 2024 at 6:20 am



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 \(i^2 = -1\).

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