## Elementary Algebra

$3i\sqrt 5$
The number $i$ is defined as $\sqrt {-1}$ We use the rules of multiplication for square roots to separate the radical: $\sqrt {-1}\sqrt {45}$ We subsititute in $i$ for $\sqrt {-1}$: $i\sqrt {45}$ We simplify the real square root using multiplication rules: $i\sqrt {9}\sqrt 5=3i\sqrt 5$