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Popular >

simplify (2i)/(3+6i)

Solution

simplify

\frac{2 i}{3 + 6 i}

Solution

\frac{4}{15} + \frac{2}{15} i

Solution steps

\frac{2 i}{3 + 6 i}

Multiply by the conjugate

\frac{3 - 6 i}{3 - 6 i}

= \frac{2 i ( 3 - 6 i )}{( 3 + 6 i ) ( 3 - 6 i )}

Simplify

\frac{2 i ( 3 - 6 i )}{( 3 + 6 i ) ( 3 - 6 i )} : \frac{6 i + 12}{45}

= \frac{6 i + 12}{45}

Rewrite in standard complex form:

\frac{4}{15} + \frac{2}{15} i

= \frac{4}{15} + \frac{2}{15} i

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Frequently Asked Questions (FAQ)

What is (2i)/(3+6i) ?
The solution to (2i)/(3+6i) is 4/15+2/15 i