What is ((1+2i))/((3+4i)) ?

The solution to ((1+2i))/((3+4i)) is 11/25+2/25 i

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simplify ((1+2i))/((3+4i))

simplify

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

\frac{11}{25} + \frac{2}{25} i

Solution steps

\frac{1 + 2 i}{3 + 4 i}

Multiply by the conjugate

\frac{3 - 4 i}{3 - 4 i}

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

Simplify

\frac{( 1 + 2 i ) ( 3 - 4 i )}{( 3 + 4 i ) ( 3 - 4 i )} : \frac{11 + 2 i}{25}

= \frac{11 + 2 i}{25}

Rewrite in standard complex form:

\frac{11}{25} + \frac{2}{25} i

= \frac{11}{25} + \frac{2}{25} i

3 \cdot 180

3 x^{2} + 2 x - 8

4 = ∣ 2 + 5 x ∣

5 - 9 w = 23

b^{\frac{1}{3}} (ab)^{\frac{1}{2}}