# 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 