simplify.\n$4\\sqrt{8}$

Explanation:

Step1: Factor the radicand

Factor 8 as $4\times2$, so $\sqrt{8}=\sqrt{4\times2}$.

Step2: Use square root property

Using the property $\sqrt{ab}=\sqrt{a}\times\sqrt{b}$ (for $a\geq0,b\geq0$), we get $\sqrt{4\times2}=\sqrt{4}\times\sqrt{2}=2\sqrt{2}$.

Step3: Multiply by the coefficient

Multiply 4 with $2\sqrt{2}$: $4\times2\sqrt{2}=8\sqrt{2}$.

Answer:

$8\sqrt{2}$