## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$4\sqrt{6}+4\sqrt{10}$
Using $a(b+c)=ab+ac$ or the Distributive Property, the given expression, $4\sqrt{2}(\sqrt{3}+\sqrt{5}) ,$ is equivalent to \begin{array}{l}\require{cancel} 4\sqrt{2(3)}+4\sqrt{2(5)} \\\\= 4\sqrt{6}+4\sqrt{10} .\end{array}