Question

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

Answer 1

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

56
4 14
22 2 7

2radical 14

Answer 2

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