Which equation is equivalent to

Answer:
The correct option is B) [tex]x+8=343[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]5\sqrt[3]{x+8}=35[/tex]
Divide both the sides by 5.
[tex]\frac{5\sqrt[3]{x+8}}{5}=\frac{35}{5}[/tex]
[tex]\sqrt[3]{x+8}=7[/tex]
Take both sides of the equation power of 3.
[tex]\left(\sqrt[3]{x+8}\right)^3=7^3[/tex]
[tex]x+8=343[/tex]
Hence, the correct option is B) [tex]x+8=343[/tex].