Convert $8 {\sqrt 2}$ to $ \frac{16} {\sqrt 2}$ Can anyone please explain to me how this happens!? My brain cannot think how to get from one to the other. Thanks!
$8 {\sqrt 2}$    to $ \frac{16} {\sqrt 2}$

$$8\sqrt{2}=8\sqrt{2}\times 1=8\sqrt{2}\times\frac{\sqrt{2}}{\sqrt{2}}=\frac{8\sqrt{2}\times\sqrt{2}}{\sqrt{2}}=\frac{8\times2}{\sqrt{2}}=\frac{16}{\sqrt{2}}$$
