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

$12\sqrt{2}$
By combining like radicals, the given expression, $8\sqrt{2}-\sqrt{2}+5\sqrt{2} ,$ simplifies to \begin{array}{l}\require{cancel} (8-1+5)\sqrt{2} \\\\= 12\sqrt{2} .\end{array} * Note that it is assumed that all variables represent positive numbers.