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Popular >

simplify (5i)/(6+8i)

Solution

simplify

\frac{5 i}{6 + 8 i}

Solution

\frac{2}{5} + \frac{3}{10} i

Solution steps

\frac{5 i}{6 + 8 i}

Multiply by the conjugate

\frac{6 - 8 i}{6 - 8 i}

= \frac{5 i ( 6 - 8 i )}{( 6 + 8 i ) ( 6 - 8 i )}

Simplify

\frac{5 i ( 6 - 8 i )}{( 6 + 8 i ) ( 6 - 8 i )} : \frac{30 i + 40}{100}

= \frac{30 i + 40}{100}

Rewrite in standard complex form:

\frac{2}{5} + \frac{3}{10} i

= \frac{2}{5} + \frac{3}{10} i

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Frequently Asked Questions (FAQ)

What is (5i)/(6+8i) ?
The solution to (5i)/(6+8i) is 2/5+3/10 i