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Popular >

simplify (3+5i)/(1-i)

Solution

simplify

\frac{3 + 5 i}{1 - i}

Solution

- 1 + 4 i

Solution steps

\frac{3 + 5 i}{1 - i}

Multiply by the conjugate

\frac{1 + i}{1 + i}

= \frac{( 3 + 5 i ) ( 1 + i )}{( 1 - i ) ( 1 + i )}

Simplify

\frac{( 3 + 5 i ) ( 1 + i )}{( 1 - i ) ( 1 + i )} : \frac{- 2 + 8 i}{2}

= \frac{- 2 + 8 i}{2}

Apply the fraction rule:

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

= \frac{- 2}{2} + \frac{8}{2} i

Simplify

\frac{- 2}{2} + \frac{8}{2} i : - 1 + 4 i

= - 1 + 4 i

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Frequently Asked Questions (FAQ)

What is (3+5i)/(1-i) ?
The solution to (3+5i)/(1-i) is -1+4i