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Popular >

simplify (7+3i)/(1+i)

Solution

simplify

\frac{7 + 3 i}{1 + i}

Solution

5 - 2 i

Solution steps

\frac{7 + 3 i}{1 + i}

Multiply by the conjugate

\frac{1 - i}{1 - i}

= \frac{( 7 + 3 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )}

Simplify

\frac{( 7 + 3 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{10 - 4 i}{2}

= \frac{10 - 4 i}{2}

Apply the fraction rule:

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

= \frac{10}{2} + \frac{- 4}{2} i

Simplify

\frac{10}{2} + \frac{- 4}{2} i : 5 - 2 i

= 5 - 2 i

Popular Examples

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\frac{2}{- 1}

(x-3)/(x+9)<= 0

\frac{x - 3}{x + 9} \leq 0

Frequently Asked Questions (FAQ)

What is (7+3i)/(1+i) ?
The solution to (7+3i)/(1+i) is 5-2i