### 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
Suggested Books: View here
Tricks for Square Root Reviewed by Jasleen Behl on Friday, April 04, 2014 Rating: 5