#### Answer

$5\sqrt{3} - 3$

#### Work Step by Step

RECALL:
(1) Distributive Property:
For any real numbers a, b, and c,
$a(b−c)=ab−ac$
(2) For any real numbers real numbers a and b within the domain,
$\sqrt[n]{a} \cdot \sqrt[n]{b}=\sqrt[n]{ab}$
(3) $\sqrt{a} \cdot \sqrt{a} = a, a\ge 0$
Use rule (1) above to obtain:
$=\sqrt{3}(5) -\sqrt{3} \cdot \sqrt{3}
\\=5\sqrt{3} - \sqrt{3} \cdot \sqrt{3}$
Use rule (3) above to obtain:
$=5\sqrt{3} - 3$