solve and show work! PLEASE HELP! I believe I have the right answer but I want to make sure

Answer:
t = 51
Step-by-step explanation:
Given
360 = 20[tex]\sqrt{t+273}[/tex] ( divide both sides by 20 )
18 = [tex]\sqrt{t+273}[/tex] ( square both sides )
18² = t + 273, that is
t + 273 = 324 ( subtract 273 from both sides )
t = 51