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Popular >

simplify 7/(8-i)

Solution

simplify

\frac{7}{8 - i}

Solution

\frac{56}{65} + \frac{7}{65} i

Solution steps

\frac{7}{8 - i}

Multiply by the conjugate

\frac{8 + i}{8 + i}

= \frac{7 ( 8 + i )}{( 8 - i ) ( 8 + i )}

Simplify

\frac{7 ( 8 + i )}{( 8 - i ) ( 8 + i )} : \frac{56 + 7 i}{65}

= \frac{56 + 7 i}{65}

Rewrite in standard complex form:

\frac{56}{65} + \frac{7}{65} i

= \frac{56}{65} + \frac{7}{65} i

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Frequently Asked Questions (FAQ)

What is 7/(8-i) ?
The solution to 7/(8-i) is 56/65+7/65 i