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Popular >

simplify 5/(5+6i)

Solution

simplify

\frac{5}{5 + 6 i}

Solution

\frac{25}{61} - \frac{30}{61} i

Solution steps

\frac{5}{5 + 6 i}

Multiply by the conjugate

\frac{5 - 6 i}{5 - 6 i}

= \frac{5 ( 5 - 6 i )}{( 5 + 6 i ) ( 5 - 6 i )}

Simplify

\frac{5 ( 5 - 6 i )}{( 5 + 6 i ) ( 5 - 6 i )} : \frac{25 - 30 i}{61}

= \frac{25 - 30 i}{61}

Rewrite in standard complex form:

\frac{25}{61} - \frac{30}{61} i

= \frac{25}{61} - \frac{30}{61} i

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Frequently Asked Questions (FAQ)

What is 5/(5+6i) ?
The solution to 5/(5+6i) is 25/61-30/61 i