simplify 3/(1+2i)

Solution

simplify

\frac{3}{1 + 2 i}

\frac{3}{5} - \frac{6}{5} i

Solution steps

\frac{3}{1 + 2 i}

Multiply by the conjugate

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

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

Simplify

\frac{3 ( 1 - 2 i )}{( 1 + 2 i ) ( 1 - 2 i )} : \frac{3 - 6 i}{5}

= \frac{3 - 6 i}{5}

Rewrite in standard complex form:

\frac{3}{5} - \frac{6}{5} i

= \frac{3}{5} - \frac{6}{5} i

\frac{6 a + 12}{a} \cdot \frac{a ^{3}}{a + 2}

(y - 10)^{2} = 0

7 x + 5 = 4 x + 14

80 a^{2} - 200 a p + 125 p^{2}

\frac{1}{2} - \frac{1}{8} - \frac{1}{40}