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Popular >

simplify (3-2i)/(2+3i)

Solution

simplify

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

Solution

- i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

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

= \frac{- 13 i}{13}

Cancel the common factor:

13

= - i

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Frequently Asked Questions (FAQ)

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