Solve (3 i )/(3-i)

Evaluate

\frac{3 i}{3 - i}

Multiply by the Conjugate

\frac{3 i ( 3 + i )}{( 3 - i ) ( 3 + i )}

Calculate

More Steps

\frac{- 3 + 9 i}{( 3 - i ) ( 3 + i )}

Calculate

More Steps

\frac{- 3 + 9 i}{10}

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

- \frac{3 - 9 i}{10}

Solution

- \frac{3}{10} + \frac{9}{10} i

Simplify the expression