Answer
$4i\sqrt 2$
Work Step by Step
The number $i$ is defined as $\sqrt {-1}$
We use the rules of multiplication for square roots to separate the radical: $\sqrt {-1}\sqrt {32}$
We subsititute in $i$ for $\sqrt {-1}$: $i\sqrt {32}$
We simplify the real square root using multiplication rules: $i\sqrt {16}\sqrt 2=4i\sqrt 2$
