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Popular >

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

Solution

simplify

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

Solution

i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

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

= \frac{2 i}{2}

Cancel the common factor:

2

= i

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Frequently Asked Questions (FAQ)

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