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Popular >

simplify 5/(2+3i)

Solution

simplify

\frac{5}{2 + 3 i}

Solution

\frac{10}{13} - \frac{15}{13} i

Solution steps

\frac{5}{2 + 3 i}

Multiply by the conjugate

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

= \frac{5 ( 2 - 3 i )}{( 2 + 3 i ) ( 2 - 3 i )}

Simplify

\frac{5 ( 2 - 3 i )}{( 2 + 3 i ) ( 2 - 3 i )} : \frac{10 - 15 i}{13}

= \frac{10 - 15 i}{13}

Rewrite in standard complex form:

\frac{10}{13} - \frac{15}{13} i

= \frac{10}{13} - \frac{15}{13} i

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Frequently Asked Questions (FAQ)

What is 5/(2+3i) ?
The solution to 5/(2+3i) is 10/13-15/13 i