simplify 1/(3-2i)

Solution

simplify

\frac{1}{3 - 2 i}

\frac{3}{13} + \frac{2}{13} i

Solution steps

\frac{1}{3 - 2 i}

Multiply by the conjugate

\frac{3 + 2 i}{3 + 2 i}

= \frac{1 \cdot ( 3 + 2 i )}{( 3 - 2 i ) ( 3 + 2 i )}

Simplify

\frac{1 \cdot ( 3 + 2 i )}{( 3 - 2 i ) ( 3 + 2 i )} : \frac{3 + 2 i}{13}

= \frac{3 + 2 i}{13}

Rewrite in standard complex form:

\frac{3}{13} + \frac{2}{13} i

= \frac{3}{13} + \frac{2}{13} i

b^{2} \cdot b^{2}

- 2 x + 5 x

(c^{2} d^{3})^{- \frac{1}{3}}

(6 x + 9) - (7 x + 1)

43 - 93