Answer:
The square root of the formula is [tex]\sqrt{2}\sqrt{2\sqrt{2}-\sqrt{6}}[/tex]
Step-by-step explanation:
1. Rewrite the formula
[tex]4\sqrt{2}-2\sqrt{6}=2(2\sqrt{2}-\sqrt{6})[/tex].
2.Take the square root
[tex]\sqrt{2(2\sqrt{2}-\sqrt{6})}[/tex].
3. The root can be rewritten
[tex]\sqrt{2(2\sqrt{2}-\sqrt{6})}=\sqrt{2}\sqrt{2\sqrt{2}-\sqrt{6}}[/tex].