Question

Divide: $16\sqrt{6}$ by $4\sqrt{2}$.

Answer 1

On dividing $16\sqrt{6}$ by $4\sqrt{2}$:

$16\sqrt{6}$ by $4\sqrt{2}=16\sqrt{6}÷4\sqrt{2}$

$=\frac{16\sqrt{6}}{4\sqrt{2}}$
16 is a multiple of 4 so we can divide it.

$=\frac{4\sqrt{6}}{\sqrt{2}}$

We can write

$$\begin{gathered} =\frac{4\sqrt{3\times 2}}{\sqrt{2}} \\ =\frac{4\times \sqrt{3}\times \sqrt{2}}{\sqrt{2}} \\ =4\sqrt{3} \end{gathered}$$

Hence, $16\sqrt{6}$ by $4\sqrt{2}$ is $4\sqrt{3}.$