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Popular >

simplify 6/(9+i)

Solution

simplify

\frac{6}{9 + i}

Solution

\frac{27}{41} - \frac{3}{41} i

Solution steps

\frac{6}{9 + i}

Multiply by the conjugate

\frac{9 - i}{9 - i}

= \frac{6 ( 9 - i )}{( 9 + i ) ( 9 - i )}

Simplify

\frac{6 ( 9 - i )}{( 9 + i ) ( 9 - i )} : \frac{54 - 6 i}{82}

= \frac{54 - 6 i}{82}

Apply the fraction rule:

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

= \frac{54}{82} + \frac{- 6}{82} i

Simplify

\frac{54}{82} + \frac{- 6}{82} i : \frac{27}{41} - \frac{3}{41} i

= \frac{27}{41} - \frac{3}{41} i

Popular Examples

simplify-3/5 (2)simplify

- \frac{3}{5} (2)

simplify (3/(5y^4))^{-2}simplify

(\frac{3}{5 y ^{4}})^{- 2}

5 n = \frac{2 n}{7} - 6 + n

8 y - 7 = 23 - 2 y

simplify 5/9*2 simplify

\frac{5}{9} \cdot 2

Frequently Asked Questions (FAQ)

What is 6/(9+i) ?
The solution to 6/(9+i) is 27/41-3/41 i