### Home > A2C > Chapter 10 > Lesson 10.2.6 > Problem10-150

10-150.

Rewrite each of the following in simplest complex or radical form.

1. $\frac { \sqrt { 2 } + \sqrt { 2 } i } { \sqrt { 2 } - \sqrt { 2 } i }$

$\text{Factor out the }\sqrt{2}\text{ and simplify.}$

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

Multiply by the conjugate of the denominator.

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

i

2. The reciprocal of $\frac { 1 } { 2 } + \frac { \sqrt { 5 } } { 2 }$

See part (a).