The value of 2-3 i -4-5 i isA- 8-15 i - B -2 i -23-41C- 3-81 i

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Algebra of Complex Numbers

The value of ...

Question

The value of $\frac{2 + 3 i}{4 + 5 i}$ is

\frac{8 + 15 i}{23}

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\frac{2 i + 23}{41}

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3+81i

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⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ \begin{matrix} - 7 & 5 + 3 i & \frac{2}{3} - 4 i 5 - 3 i & 8 & 4 + 5 i \frac{2}{3} + 4 i & 4 - 5 i & 9 \end{matrix} ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦

z = ∣ ∣ ∣ ∣ \begin{matrix} 1 & 1 + 2 i & - 5 i 1 - 2 i & - 3 & 5 + 3 i 5 i & 5 - 3 i & 7 \end{matrix} ∣ ∣ ∣ ∣

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i = (\sqrt{- 1})

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