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Popular >

simplify 8/(6-2i)

Solution

simplify

\frac{8}{6 - 2 i}

Solution

\frac{6}{5} + \frac{2}{5} i

Solution steps

\frac{8}{6 - 2 i}

Multiply by the conjugate

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

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

Simplify

\frac{8 ( 6 + 2 i )}{( 6 - 2 i ) ( 6 + 2 i )} : \frac{48 + 16 i}{40}

= \frac{48 + 16 i}{40}

Apply the fraction rule:

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

= \frac{48}{40} + \frac{16}{40} i

Simplify

\frac{48}{40} + \frac{16}{40} i : \frac{6}{5} + \frac{2}{5} i

= \frac{6}{5} + \frac{2}{5} i

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Frequently Asked Questions (FAQ)

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