Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.

The Solution:
Given:
Required:
Find the values of t.
[tex]\sqrt{3t+5}=8[/tex]Square both sides.
[tex](\sqrt{3t+5)}^2=8^2[/tex][tex]3t+5=64[/tex][tex]\begin{gathered} 3t=64-5 \\ \\ 3t=59 \end{gathered}[/tex]Divide both sides by 3.
[tex]t=\frac{59}{3}[/tex]Answer:
[tex]t=\frac{59}{3}[/tex]