# How do you simplify (-1)^(1/2)?

Aug 25, 2016

$\sqrt{- 1} = \pm i$

#### Explanation:

We have to use the imaginary unit $i$. This is defined as the roots of the polynomial

${x}^{2} + 1 = 0$

Giving $x = \pm \sqrt{- 1}$.

We define ${i}^{2} = - 1$ so

$x = \pm \sqrt{{i}^{2}} = \pm i$