What is (3+2i)/(2+i) ?

The solution to (3+2i)/(2+i) is 8/5+1/5 i

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simplify (3+2i)/(2+i)

simplify

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

\frac{8}{5} + \frac{1}{5} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 3 + 2 i ) ( 2 - i )}{( 2 + i ) ( 2 - i )} : \frac{8 + i}{5}

= \frac{8 + i}{5}

Rewrite in standard complex form:

\frac{8}{5} + \frac{1}{5} i

= \frac{8}{5} + \frac{1}{5} i

12 x^{2} + 17 x - 5

\frac{x}{5} + 1 = 5

y^{3} - 9 y^{2} + 8 y + 60

1 2^{2} + b^{2} = 1 3^{2}

(- \frac{1}{3})^{- 4}