Evaluate $$\lfloor\sqrt{1}\rfloor + \lfloor\sqrt{2}\rfloor + \lfloor\sqrt{3}\rfloor + \dots + \lfloor\sqrt{29}\rfloor$$
from 1 to 3: 1
from 4 to 8: 2
from 9 to 15: 3
from 16 to 24: 4
from 25 to 29: 5
3(1) + 5(2) + 7(3) + 9(4) + 5(5) = 95