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Popular >

simplify 6/(3+5i)

Solution

simplify

\frac{6}{3 + 5 i}

Solution

\frac{9}{17} - \frac{15}{17} i

Solution steps

\frac{6}{3 + 5 i}

Multiply by the conjugate

\frac{3 - 5 i}{3 - 5 i}

= \frac{6 ( 3 - 5 i )}{( 3 + 5 i ) ( 3 - 5 i )}

Simplify

\frac{6 ( 3 - 5 i )}{( 3 + 5 i ) ( 3 - 5 i )} : \frac{18 - 30 i}{34}

= \frac{18 - 30 i}{34}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{18}{34} + \frac{- 30}{34} i

Simplify

\frac{18}{34} + \frac{- 30}{34} i : \frac{9}{17} - \frac{15}{17} i

= \frac{9}{17} - \frac{15}{17} i

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Frequently Asked Questions (FAQ)

What is 6/(3+5i) ?
The solution to 6/(3+5i) is 9/17-15/17 i