Question

Express (5+2 i)/(1-2 i) in the form of a + ib,

Answer 1

Answer:

$5 + 2i \\ \\ \frac{1}{1 - 2i} = \frac{1 + 2i}{(1 + 2i)(1 - 2i)} \\ \\ = \frac{1 + 2i}{ - 3} \\ \\ (5 + 2i)(1 + 2i)( - \frac{1}{3} ) \\ \\ = \frac{1 + 12i}{ - 3} \\ \\ \: since \: \: {i}^{2} = - 1$

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