A Precalculus problem by Ahsan Memon

Algebra Level 2

$\frac{1+i}{1-i} = \ ?$

Clarification : $i = \sqrt{-1}$ .

i

-i

1

-1

1 solution

Ahsan Memon
Jun 11, 2015

Rationalize the denominator with the complex conjugate to remove the imaginary term from the denominator.

Multiply out the complex conjugate factors in the denominator to remove the imaginary terms.

Simplify the expression.

Reduce the expression by removing a factor of 2 from the numerator and denominator.