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Popular >

simplify (6i)/(8+2i)

Solution

simplify

\frac{6 i}{8 + 2 i}

Solution

\frac{3}{17} + \frac{12}{17} i

Solution steps

\frac{6 i}{8 + 2 i}

Multiply by the conjugate

\frac{8 - 2 i}{8 - 2 i}

= \frac{6 i ( 8 - 2 i )}{( 8 + 2 i ) ( 8 - 2 i )}

Simplify

\frac{6 i ( 8 - 2 i )}{( 8 + 2 i ) ( 8 - 2 i )} : \frac{48 i + 12}{68}

= \frac{48 i + 12}{68}

Rewrite in standard complex form:

\frac{3}{17} + \frac{12}{17} i

= \frac{3}{17} + \frac{12}{17} i

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Frequently Asked Questions (FAQ)

What is (6i)/(8+2i) ?
The solution to (6i)/(8+2i) is 3/17+12/17 i