Tricks for Square Root

Trick 1. 

Square root for 21904:
Number     Split as
21904        219 | 04
Split the number keeping the last 2 digits aside

`14^{2}` < 219 < `5^{2}`

Choose the smaller number (14) as 1st Part

If the square ends in	1	4	9	6	5	0
The no. would end in	1,9	2,8	3,7	4,6	5	0

Choose 8 as 219 is closer to 225 (`15^{2}`) than 196 (`14^{2}`)
14      |        8
Ans. 148

Trick 2. 

Square root for 20164:
Number     Split as
20164        201 | 64
Split the number keeping the last 2 digits aside
`14^{2}` < 201 < `15^{2}`
Choose the smaller number (14) as 1st Part

If the square ends in	1	4	9	6	5	0
The no. would end in	1,9	2,8	3,7	4,6	5	0

Choose 2 as 201 is closer to 196 (`14^{2}`) than 225 (`15^{2}`)
      14     |    2
Ans. 142

Trick 3.

Square root for 143641:
Number       Split as
143641       1436 | 41
Split the number keeping the last 2 digits aside
`37^{2}` < 1436 < `38^{2}`

If the square ends in	1	4	9	6	5	0
The no. would end in	1,9	2,8	3,7	4,6	5	0

Choose 9 as 1436 is closer to 1444 (`38^{2}`) than 1369 (`37^{2}`)
37      |        9
Ans. 379

Trick 4. 

Square root for 69169:
Number      Split as
69169        691 | 69
Split the number keeping the last 2 digits aside
`26^{2}` < 219 < `27^{2}`
Choose the smaller number (26) as 1st Part

If the square ends in	1	4	9	6	5	0
The no. would end in	1,9	2,8	3,7	4,6	5	0

Choose 3 as 691 is closer to 676 (`26^{2}`) than 729 (`27^{2}`)
26     |      3
Ans. 263

Try out some Square Examples for 

24964, 51984, 94249, 18769