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Popular >

simplify 1/(2+3i)

Solution

simplify

\frac{1}{2 + 3 i}

Solution

\frac{2}{13} - \frac{3}{13} i

Solution steps

\frac{1}{2 + 3 i}

Multiply by the conjugate

\frac{2 - 3 i}{2 - 3 i}

= \frac{1 \cdot ( 2 - 3 i )}{( 2 + 3 i ) ( 2 - 3 i )}

Simplify

\frac{1 \cdot ( 2 - 3 i )}{( 2 + 3 i ) ( 2 - 3 i )} : \frac{2 - 3 i}{13}

= \frac{2 - 3 i}{13}

Rewrite in standard complex form:

\frac{2}{13} - \frac{3}{13} i

= \frac{2}{13} - \frac{3}{13} i

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Frequently Asked Questions (FAQ)

What is 1/(2+3i) ?
The solution to 1/(2+3i) is 2/13-3/13 i