What is (3+4i)/(1+i) ?

The solution to (3+4i)/(1+i) is 7/2+1/2 i

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simplify (3+4i)/(1+i)

simplify

\frac{3 + 4 i}{1 + i}

\frac{7}{2} + \frac{1}{2} i

Solution steps

\frac{3 + 4 i}{1 + i}

Multiply by the conjugate

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

= \frac{( 3 + 4 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )}

Simplify

\frac{( 3 + 4 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{7 + i}{2}

= \frac{7 + i}{2}

Rewrite in standard complex form:

\frac{7}{2} + \frac{1}{2} i

= \frac{7}{2} + \frac{1}{2} i

x^{\frac{1}{2}} \times x^{\frac{1}{2}}

8 \cdot 8 \cdot 8

\frac{10}{2 + i}

33

5 \times \frac{2}{5}