What is 30 rounded to the nearest hundredth

30.00 i think. but 30 is a whole number so its not really being rounded

30 = (5 + h)^2 
30 = 25 + 10h + h^2 
5 = 10h + h^2 

0 < h < 1 

If 0 < h < 1, then 0 < h^2 < 1 as well 

4 = 10h , 5 = 10h 
0.4 = h , 0.5 = h 

0.4 < h < 0.5 

5.5^2 = 30.25 
5.4^2 = 29.16 

30 = (5.4 + h)^2 
30 = 29.16 + 10.8h + h^2 

0 < h < 0.1 
0 < h^2 < 0.01 

0.84 = 10.8h + h^2 
0.83 = 10.8h , 0.84 = 10.8h 
83/1080 = h , 84/1080 = h 

83/1080 < h < 84/1080 

5.4 + 83/1080 => 
5.476851851851 
5915/1080 
1183/216 

(1183/216)^2 = 29.995906207133058984910836762689 

Ah, that's close enough. 

5.47685