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Popular >

simplify 1/((1+i))

Solution

simplify

\frac{1}{( 1 + i )}

Solution

\frac{1}{2} - \frac{1}{2} i

Solution steps

\frac{1}{1 + i}

Multiply by the conjugate

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

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

Simplify

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

= \frac{1 - i}{2}

Rewrite in standard complex form:

\frac{1}{2} - \frac{1}{2} i

= \frac{1}{2} - \frac{1}{2} i

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Frequently Asked Questions (FAQ)

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