Question

divide 16 root 6 by 4 root 2

Answer 1

$$\begin{gathered} \frac{16\sqrt{6}}{4\sqrt{2}} \\ =\frac{4\sqrt{6}}{\sqrt{2}} \\ =\frac{4\sqrt{6}}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}\left[\mathbf{rationalising}\mathbf{}\mathbf{the}\mathbf{}\mathbf{denominator}\right] \\ =\frac{4\sqrt{12}}{2} \\ =2\sqrt{12} \\ =2\sqrt{2\times 2\times 3} \\ =2\times 2\sqrt{3}=4\sqrt{3} \end{gathered}$$