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Popular >

simplify (1+i)/(2+i)

Solution

simplify

\frac{1 + i}{2 + i}

Solution

\frac{3}{5} + \frac{1}{5} i

Solution steps

\frac{1 + i}{2 + i}

Multiply by the conjugate

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

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

Simplify

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

= \frac{3 + i}{5}

Rewrite in standard complex form:

\frac{3}{5} + \frac{1}{5} i

= \frac{3}{5} + \frac{1}{5} i

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Frequently Asked Questions (FAQ)

What is (1+i)/(2+i) ?
The solution to (1+i)/(2+i) is 3/5+1/5 i