If Valerie has a calculator, she can just calculate that #sqrt(500) ~~ 22.36#, and order the least whole number greater than that, meaning she should order #23"ft"^3# of cement.
If Valerie does not have a calculator, she can work out some squares of whole numbers to find out that
#22^2 = 484 < 500 < 529 = 23^2#
As #22^2 < 500 < 23^2#, that means #22 < sqrt(500) < 23#. Thus, without calculating the actual value of #sqrt(500)#, she can still tell that #23# is the least whole number which is greater than #sqrt(500)#, and then order #23"ft"^3# of cement.