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Popular >

simplify 1/(2+i)

Solution

simplify

\frac{1}{2 + i}

Solution

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

Solution steps

\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

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Frequently Asked Questions (FAQ)

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