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Popular >

simplify 1/(5+2i)

Solution

simplify

\frac{1}{5 + 2 i}

Solution

\frac{5}{29} - \frac{2}{29} i

Solution steps

\frac{1}{5 + 2 i}

Multiply by the conjugate

\frac{5 - 2 i}{5 - 2 i}

= \frac{1 \cdot ( 5 - 2 i )}{( 5 + 2 i ) ( 5 - 2 i )}

Simplify

\frac{1 \cdot ( 5 - 2 i )}{( 5 + 2 i ) ( 5 - 2 i )} : \frac{5 - 2 i}{29}

= \frac{5 - 2 i}{29}

Rewrite in standard complex form:

\frac{5}{29} - \frac{2}{29} i

= \frac{5}{29} - \frac{2}{29} i

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Frequently Asked Questions (FAQ)

What is 1/(5+2i) ?
The solution to 1/(5+2i) is 5/29-2/29 i