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Popular >

simplify 1/(-1-2i)

Solution

simplify

\frac{1}{- 1 - 2 i}

Solution

- \frac{1}{5} + \frac{2}{5} i

Solution steps

\frac{1}{- 1 - 2 i}

Multiply by the conjugate

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

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

Simplify

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

= \frac{- 1 + 2 i}{5}

Rewrite in standard complex form:

- \frac{1}{5} + \frac{2}{5} i

= - \frac{1}{5} + \frac{2}{5} i

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Frequently Asked Questions (FAQ)

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