How to find the square root of 56 without using a calculator

There an old algorythmic method similar to long division:-
          
                 7 .   4   8   3
             
              ) 56. 00 00 00
          7  ) 49
              ) ---
     144   )   7 00
             )    576   
                 
  148 8 )     12400
           )      11904
                 
          )       496 00
1496 3  )    44889    

THis gives the square root as 7.48  to the nearest hundredth

 

Do a factor tree (i think that is what they called it)

56
4 14
22 2 7

2radical 14