## Elementary Algebra

$12x\sqrt[]{3}$
Using the properties of radicals, the given expression, $3\sqrt[]{48x^2} ,$ simplifies to \begin{array}{l}\require{cancel} 3\sqrt[]{16x^2\cdot3} \\\\= 3\sqrt[]{(4x)^2\cdot3} \\\\= 3\cdot4x\sqrt[]{3} \\\\= 12x\sqrt[]{3} .\end{array} Note that all of the variables are assumed to represent non-negative real numbers.