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Popular >

simplify (29)/(5+2i)

Solution

simplify

\frac{29}{5 + 2 i}

Solution

5 - 2 i

Solution steps

\frac{29}{5 + 2 i}

Multiply by the conjugate

\frac{5 - 2 i}{5 - 2 i}

= \frac{29 ( 5 - 2 i )}{( 5 + 2 i ) ( 5 - 2 i )}

Simplify

\frac{29 ( 5 - 2 i )}{( 5 + 2 i ) ( 5 - 2 i )} : \frac{145 - 58 i}{29}

= \frac{145 - 58 i}{29}

Apply the fraction rule:

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

= \frac{145}{29} + \frac{- 58}{29} i

Simplify

\frac{145}{29} + \frac{- 58}{29} i : 5 - 2 i

= 5 - 2 i

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Frequently Asked Questions (FAQ)

What is (29)/(5+2i) ?
The solution to (29)/(5+2i) is 5-2i