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Popular >

simplify 8/(8+i)

Solution

simplify

\frac{8}{8 + i}

Solution

\frac{64}{65} - \frac{8}{65} i

Solution steps

\frac{8}{8 + i}

Multiply by the conjugate

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

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

Simplify

\frac{8 ( 8 - i )}{( 8 + i ) ( 8 - i )} : \frac{64 - 8 i}{65}

= \frac{64 - 8 i}{65}

Rewrite in standard complex form:

\frac{64}{65} - \frac{8}{65} i

= \frac{64}{65} - \frac{8}{65} i

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Frequently Asked Questions (FAQ)

What is 8/(8+i) ?
The solution to 8/(8+i) is 64/65-8/65 i