Question

What is the following product? ^3sqrt24 • ^3sqrt45

Answer 1

$\sf \: \sqrt[3]{24} . \sqrt[3]{45} \\ \sf = \sqrt[3]{24 \times 45} \\ \sf \:= \sqrt[3]{\underline{3 \times 3 \times 3} \times \underline{ 2 \times 2 \times 2} \times 5} \\ \sf = 2 \times 3 \times \sqrt[3]{5} \\ = \boxed{\underline{\bf 6(\sqrt[3]{5} )}} \: \sf\: option \: 3$