Respuesta :

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].