Verified Answer :

\((4p - 7)^{\frac{1}{2}} = 5\)
\(\sqrt{4p-7} = 5\)
\(( \sqrt{4p-7} )^{2} = 5^{2}\)
\(4p - 7 = 25\)
\(4p = 25 + 7 \\ 4p = 32 \\ p = 32/4 \\ p = 8\)

Hope this helps! :)