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Popular >

simplify (4+5i)/(5-4i)

Solution

simplify

\frac{4 + 5 i}{5 - 4 i}

Solution

i

Solution steps

\frac{4 + 5 i}{5 - 4 i}

Multiply by the conjugate

\frac{5 + 4 i}{5 + 4 i}

= \frac{( 4 + 5 i ) ( 5 + 4 i )}{( 5 - 4 i ) ( 5 + 4 i )}

Simplify

\frac{( 4 + 5 i ) ( 5 + 4 i )}{( 5 - 4 i ) ( 5 + 4 i )} : \frac{41 i}{41}

= \frac{41 i}{41}

Cancel the common factor:

41

= i

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Frequently Asked Questions (FAQ)

What is (4+5i)/(5-4i) ?
The solution to (4+5i)/(5-4i) is i