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Popular >

simplify 1/(5+3i)

Solution

simplify

\frac{1}{5 + 3 i}

Solution

\frac{5}{34} - \frac{3}{34} i

Solution steps

\frac{1}{5 + 3 i}

Multiply by the conjugate

\frac{5 - 3 i}{5 - 3 i}

= \frac{1 \cdot ( 5 - 3 i )}{( 5 + 3 i ) ( 5 - 3 i )}

Simplify

\frac{1 \cdot ( 5 - 3 i )}{( 5 + 3 i ) ( 5 - 3 i )} : \frac{5 - 3 i}{34}

= \frac{5 - 3 i}{34}

Rewrite in standard complex form:

\frac{5}{34} - \frac{3}{34} i

= \frac{5}{34} - \frac{3}{34} i

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Frequently Asked Questions (FAQ)

What is 1/(5+3i) ?
The solution to 1/(5+3i) is 5/34-3/34 i