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

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simplify 1/(i+2)

Solution

simplify

\frac{1}{i + 2}

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

Solution steps

\frac{1}{i + 2}

Rewrite

i + 2

in standard complex form:

2 + i

= \frac{1}{2 + i}

Multiply by the conjugate

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

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

Simplify

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

= \frac{2 - i}{5}

Rewrite in standard complex form:

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

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

t^{3} + 64

2 x - 7 \leq - 9

\frac{4 - \frac{2}{3}}{\frac{2}{5} - 6}

4 x + 18

\frac{1}{1.4142}