Answer
$5+6i$
Work Step by Step
Factor the radicand so that one factor $-1$ to obtain:
$=5+\sqrt{36(-1)}
\\=5+\sqrt{6^2(-1)}$
RECALL:
(1) $\sqrt{ab} = \sqrt{a} \cdot \sqrt{b}$
(2) $\sqrt{-1} = i$
Use rule (1) above to obtain:
$=5+ \cdot \sqrt{6^2} \cdot \sqrt{-1}
\\=5+ 6 \cdot \sqrt{-1}$
Use rule (2) above to obtain:
$=5+6i$
