Question

use the inverse relationship to complete the expression. if $i = sqrt{-1}$, then $i^{2}=$

Explanation:

Step1: Recall the definition of $i$.

$i = \sqrt{-1}$

Step2: Square both sides.

$i^2=(\sqrt{-1})^2$
Since squaring and square - rooting are inverse operations for non - negative real numbers, and for the imaginary unit $i$, $(\sqrt{-1})^2=-1$. So $i^2 = - 1$.

Answer:

$-1$