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Popular >

simplify (7i)/(8+i)

Solution

simplify

\frac{7 i}{8 + i}

Solution

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

Solution steps

\frac{7 i}{8 + i}

Multiply by the conjugate

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

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

Simplify

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

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

Rewrite in standard complex form:

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

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

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Frequently Asked Questions (FAQ)

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