Verified Answer :

\(8v^2 +3=35\) 

\(8v^2=35-3\)      \(Subtract \ 3 \ from \ both \ sides\)

\(8v^2=32\) 

\(v^2= \dfrac{32}{8}\)   \(Divide \ both \ sides \ by \ 8\)

\(v^2=4\) 

\(v=+ \sqrt{4}\)            \(Take \ the \ square \ root \ of \ both \ sides\)

\(v=+2\)                       \(\ Since \ 2*2=4, \ the \ square \ root \ of \ 4 \ is \ 2\)