Answer
$5\sqrt3-3\sqrt5$
Work Step by Step
$\sqrt5(\sqrt{15}-3)\longrightarrow$ use the distributive property
=$(\sqrt5)(\sqrt{15})-(\sqrt5)(3)\longrightarrow$ multiplication property of square roots
=$\sqrt{75}-3\sqrt5\longrightarrow$ factor the perfect square out of 75
=$\sqrt{25\times3}-3\sqrt5\longrightarrow$ multiplication property of square roots
=$(\sqrt{25})(\sqrt3)-3\sqrt5\longrightarrow$ simplify
=$5\sqrt3-3\sqrt5$
