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Popular >

simplify 4/(1-2i)

Solution

simplify

\frac{4}{1 - 2 i}

Solution

\frac{4}{5} + \frac{8}{5} i

Solution steps

\frac{4}{1 - 2 i}

Multiply by the conjugate

\frac{1 + 2 i}{1 + 2 i}

= \frac{4 ( 1 + 2 i )}{( 1 - 2 i ) ( 1 + 2 i )}

Simplify

\frac{4 ( 1 + 2 i )}{( 1 - 2 i ) ( 1 + 2 i )} : \frac{4 + 8 i}{5}

= \frac{4 + 8 i}{5}

Rewrite in standard complex form:

\frac{4}{5} + \frac{8}{5} i

= \frac{4}{5} + \frac{8}{5} i

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Frequently Asked Questions (FAQ)

What is 4/(1-2i) ?
The solution to 4/(1-2i) is 4/5+8/5 i