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Popular >

simplify (4+3i)/(3-4i)

Solution

simplify

\frac{4 + 3 i}{3 - 4 i}

Solution

i

Solution steps

\frac{4 + 3 i}{3 - 4 i}

Multiply by the conjugate

\frac{3 + 4 i}{3 + 4 i}

= \frac{( 4 + 3 i ) ( 3 + 4 i )}{( 3 - 4 i ) ( 3 + 4 i )}

Simplify

\frac{( 4 + 3 i ) ( 3 + 4 i )}{( 3 - 4 i ) ( 3 + 4 i )} : \frac{25 i}{25}

= \frac{25 i}{25}

Cancel the common factor:

25

= i

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Frequently Asked Questions (FAQ)

What is (4+3i)/(3-4i) ?
The solution to (4+3i)/(3-4i) is i