A3.2

verify, through investigation with and without technology, that $\sqrt{ab}=\sqrt{a}\times \sqrt{b}$, $a\ge 0$, $b\ge 0$, and use this relationship to simplify radicals (e.g., $\sqrt{24}$) and radical expressions obtained by adding, subtracting, and multiplying [e.g., $(2+\sqrt{6})(3-\sqrt{12})$]