What is (3+5i)/(10+3i) ?

The solution to (3+5i)/(10+3i) is 45/109+41/109 i

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simplify (3+5i)/(10+3i)

simplify

\frac{3 + 5 i}{10 + 3 i}

\frac{45}{109} + \frac{41}{109} i

Solution steps

\frac{3 + 5 i}{10 + 3 i}

Multiply by the conjugate

\frac{10 - 3 i}{10 - 3 i}

= \frac{( 3 + 5 i ) ( 10 - 3 i )}{( 10 + 3 i ) ( 10 - 3 i )}

Simplify

\frac{( 3 + 5 i ) ( 10 - 3 i )}{( 10 + 3 i ) ( 10 - 3 i )} : \frac{45 + 41 i}{109}

= \frac{45 + 41 i}{109}

Rewrite in standard complex form:

\frac{45}{109} + \frac{41}{109} i

= \frac{45}{109} + \frac{41}{109} i

∣ 8 - 6 i ∣

\frac{50}{300}

- 4 r^{4} - 8 r

(\frac{81}{36})^{\frac{3}{2}}

(x y)^{\frac{1}{2}}