Answer
$2\sqrt{15}-30$
Work Step by Step
$\frac{\sqrt5}{2}(4\sqrt3-6\sqrt{20})$
Use the distributive propety.
$\frac{\sqrt5}{2}(4\sqrt3)-\frac{\sqrt5}{2}(6\sqrt{20}))$
Use the product rule for square roots.
$\frac{4\sqrt{15}}{2}-\frac{6\sqrt{100}}{2}$
Simplify.
$2\sqrt{15}-3(10)$
$2\sqrt{15}-30$
