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Popular >

simplify 5/(1+i)

Solution

simplify

\frac{5}{1 + i}

Solution

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

Solution steps

\frac{5}{1 + i}

Multiply by the conjugate

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

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

Simplify

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

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

Rewrite in standard complex form:

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

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

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Frequently Asked Questions (FAQ)

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