## Elementary Algebra

$4\sqrt[]{6}-8\sqrt[]{15}$
Using $a(b+c)=ab+ac$, or the Distributive Property, and the properties of radicals, the given expression, $4\sqrt[]{3}(\sqrt[]{2}-2\sqrt[]{5}) ,$ simplifies to \begin{array}{l}\require{cancel} 4\sqrt[]{3}(\sqrt[]{2})-4\sqrt[]{3}(2\sqrt[]{5}) \\\\= 4\sqrt[]{6}-8\sqrt[]{15} .\end{array}