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Popular >

simplify (4i)/(6+4i)

Solution

simplify

\frac{4 i}{6 + 4 i}

Solution

\frac{4}{13} + \frac{6}{13} i

Solution steps

\frac{4 i}{6 + 4 i}

Multiply by the conjugate

\frac{6 - 4 i}{6 - 4 i}

= \frac{4 i ( 6 - 4 i )}{( 6 + 4 i ) ( 6 - 4 i )}

Simplify

\frac{4 i ( 6 - 4 i )}{( 6 + 4 i ) ( 6 - 4 i )} : \frac{24 i + 16}{52}

= \frac{24 i + 16}{52}

Rewrite in standard complex form:

\frac{4}{13} + \frac{6}{13} i

= \frac{4}{13} + \frac{6}{13} i

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Frequently Asked Questions (FAQ)

What is (4i)/(6+4i) ?
The solution to (4i)/(6+4i) is 4/13+6/13 i