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Popular >

simplify 7/(7+i)

Solution

simplify

\frac{7}{7 + i}

Solution

\frac{49}{50} - \frac{7}{50} i

Solution steps

\frac{7}{7 + i}

Multiply by the conjugate

\frac{7 - i}{7 - i}

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

Simplify

\frac{7 ( 7 - i )}{( 7 + i ) ( 7 - i )} : \frac{49 - 7 i}{50}

= \frac{49 - 7 i}{50}

Rewrite in standard complex form:

\frac{49}{50} - \frac{7}{50} i

= \frac{49}{50} - \frac{7}{50} i

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Frequently Asked Questions (FAQ)

What is 7/(7+i) ?
The solution to 7/(7+i) is 49/50-7/50 i