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Popular >

simplify 7/(3+7i)

Solution

simplify

\frac{7}{3 + 7 i}

Solution

\frac{21}{58} - \frac{49}{58} i

Solution steps

\frac{7}{3 + 7 i}

Multiply by the conjugate

\frac{3 - 7 i}{3 - 7 i}

= \frac{7 ( 3 - 7 i )}{( 3 + 7 i ) ( 3 - 7 i )}

Simplify

\frac{7 ( 3 - 7 i )}{( 3 + 7 i ) ( 3 - 7 i )} : \frac{21 - 49 i}{58}

= \frac{21 - 49 i}{58}

Rewrite in standard complex form:

\frac{21}{58} - \frac{49}{58} i

= \frac{21}{58} - \frac{49}{58} i

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Frequently Asked Questions (FAQ)

What is 7/(3+7i) ?
The solution to 7/(3+7i) is 21/58-49/58 i