Solve i/(-2-8i) - ScanMath

Evaluate

\frac{i}{- 2 - 8 i}

Multiply by the Conjugate

\frac{i ( - 2 + 8 i )}{( - 2 - 8 i ) ( - 2 + 8 i )}

Calculate

More Steps

\frac{- 8 - 2 i}{( - 2 - 8 i ) ( - 2 + 8 i )}

Calculate

More Steps

\frac{- 8 - 2 i}{68}

Rewrite the expression

\frac{2 ( - 4 - i )}{68}

Cancel out the common factor 2

\frac{- 4 - i}{34}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{4 + i}{34}

Solution

- \frac{2}{17} - \frac{1}{34} i

Simplify the expression