Answer
$10\sqrt{3}$
Work Step by Step
$\sqrt{50}\cdot\sqrt{6}=\sqrt{25\cdot 2}\cdot\sqrt{6} \quad$... use the rule: $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$
$=\sqrt{25}\cdot\sqrt{2}\cdot\sqrt{6}\quad$... use the same rule
$= 5\sqrt{12} $
$=5\sqrt{4\cdot 3}\quad$... use the same rule
$=5\sqrt{4}\cdot\sqrt{3}$
$=5\cdot 2\sqrt{3}$
= $10\sqrt{3}$
