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Popular >

simplify (89)/(8+5i)

Solution

simplify

\frac{89}{8 + 5 i}

Solution

8 - 5 i

Solution steps

\frac{89}{8 + 5 i}

Multiply by the conjugate

\frac{8 - 5 i}{8 - 5 i}

= \frac{89 ( 8 - 5 i )}{( 8 + 5 i ) ( 8 - 5 i )}

Simplify

\frac{89 ( 8 - 5 i )}{( 8 + 5 i ) ( 8 - 5 i )} : \frac{712 - 445 i}{89}

= \frac{712 - 445 i}{89}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{712}{89} + \frac{- 445}{89} i

Simplify

\frac{712}{89} + \frac{- 445}{89} i : 8 - 5 i

= 8 - 5 i

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Frequently Asked Questions (FAQ)

What is (89)/(8+5i) ?
The solution to (89)/(8+5i) is 8-5i