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Popular >

simplify 3/(5+11i)

Solution

simplify

\frac{3}{5 + 11 i}

Solution

\frac{15}{146} - \frac{33}{146} i

Solution steps

\frac{3}{5 + 11 i}

Multiply by the conjugate

\frac{5 - 11 i}{5 - 11 i}

= \frac{3 ( 5 - 11 i )}{( 5 + 11 i ) ( 5 - 11 i )}

Simplify

\frac{3 ( 5 - 11 i )}{( 5 + 11 i ) ( 5 - 11 i )} : \frac{15 - 33 i}{146}

= \frac{15 - 33 i}{146}

Rewrite in standard complex form:

\frac{15}{146} - \frac{33}{146} i

= \frac{15}{146} - \frac{33}{146} i

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Frequently Asked Questions (FAQ)

What is 3/(5+11i) ?
The solution to 3/(5+11i) is 15/146-33/146 i