## Elementary Algebra

$3ab^2\sqrt{5}$
Using the properties of radicals, the given expression, $\sqrt{45a^2b^4} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt{9a^2b^4\cdot5} \\\\= \sqrt{(3ab^2)^2\cdot5} \\\\= 3ab^2\sqrt{5} .\end{array} Note that all of the variables are assumed to represent non-negative real numbers.