Answer:

Step-by-step explanation:
This is hard to explain, but basically you use exponent rules to switch it to an exponent
![(\sqrt[4]{x^{2} +4} )^{3}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7Bx%5E%7B2%7D%20%2B4%7D%20%29%5E%7B3%7D)
It's easiest if you calculate
first
4³ = 4 x 4 x 4 = 48
Then convert the root to a fraction exponent
![\sqrt[4]{x^{2}} = x^{\frac{2}{4}} = x^{\frac{1}{2} }](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B2%7D%7D%20%3D%20x%5E%7B%5Cfrac%7B2%7D%7B4%7D%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D)
Combine them using addition, since addition was in the problem

I hope this helps!
Answer:
the answer for this question would be 28
Step-by-step explanation:
I have no idea what you are trying to say
|x-8| = 16
⇒ x-8= 16 or x-8= -16
⇒ x= 16+ 8 or x= -16+ 8
⇒ x= 24 or x= -8
Final answer: x= 24 or x= -8~