Here is the trick for finding squre of 3 digit number:
* you must remember square from 2 to 9
2 : 4
3 : 9
4 :16
5 : 25
6 : 36
7 : 49
8 : 64
9 : 81
consider we need to find square of ABC : 236
here A : 2, B : 3, C : 6
Step 1:
C²=36 // R1= 6, Carry1= 3
Step 2:
B×C×2 + carry1= 3×6×2 + 3 =39 // R2= 9, carry2= 3
Step 3:
B²+ A×C×2 + carry2= 9+24+3// R3= 6, carry3= 3
Step 4:
A×B×2 + carry3= 2×3×2 + 3 =15 // R4= 3, carry4= 1
Step 5:
A²+carry4= 4+1 // R5=5
Now arrange all Results like R54321= 55696