Question

What is a simplified form for 3√3 • 6√6

Answer 1

Let's simplify the expression

`\begin{gathered} (3\sqrt[]{3})(6\sqrt[]{6})=18\sqrt[]{3\cdot6} \\ =18\sqrt[]{18} \\ =18\sqrt[]{9\cdot2} \\ =18\cdot3\sqrt[]{2} \\ =54\sqrt[]{2} \end{gathered}`

Therefore the simplified form is:

`54\sqrt[]{2}`