Square tricks and tips of Natural numbers (26 to 49) for competitive exams

Here I am going to guide you for faster calculation of square with the help of some tricks. If you have learnt the square of natural numbers from 1 to 25 then this tricky method of calculation of square of other numbers will help you to save your time in calculation but practice is needed & compulsory.
Its a expert advice not to avoid it.

In this range we use the trick which uses 25 & 50

Method :-

Step 1^st :- Substract these numbers from 50 &get the difference.

Step 2^nd :- Now substract the above difference from 25 & get the result.

Step 3^rd :- Now follow the above result with the square of the difference of 1^st step in 2- digit only

Demonstration of above method:-

49² →   Step 1^st    50 – 49 = 01

             Step 2^nd   25 – 01 = 24

             Step 3^rd   Arrange it like this 24(01)² → 2401

Get the required answer 49² = 2401

48² →   Step 1^st    50 – 48 = 02

             Step 2^nd   25 – 02 = 23

             Step 3^rd   Arrange it like this 23(02)² → 2304

Get the required answer 48² = 2304

47² →   Step 1^st    50 – 47 = 03

             Step 2^nd   25 – 03 = 22

             Step 3^rd   Arrange it like this 22(03)² → 2209

Get the required answer 47² = 2209

46² →   Step 1^st    50 – 46 = 04

             Step 2^nd   25 – 04 = 21

             Step 3^rd   Arrange it like this 21(04)² → 2116

Get the required answer 46² = 2116

44² →   Step 1^st    50 – 44 = 06

             Step 2^nd   25 – 06 = 19

             Step 3^rd   arrange it like this 19(06)² → 1936

Get the required answer 44² = 1936

43² →   Step 1^st    50 – 43 = 07

             Step 2^nd   25 – 07 = 18

             Step 3^rd   Arrange it like this 18(07)² → 1849

Get the required answer 43² = 1849

42² →   Step 1^st    50 – 42 = 08

             Step 2^nd   25 – 08 = 17

             Step 3^rd   Arrange it like this 17(08)² → 1764

Get the required answer 42² = 1764

41² →   Step 1^st    50 – 41 = 09

             Step 2^nd   25 – 09 = 16

             Step 3^rd   Arrange it like this 16(09)² → 1681

Get the required answer 41² = 1681

39² →   Step 1^st    50 – 39 = 11

             Step 2^nd   25 – 11 = 14

             Step 3^rd   Arrange it like this 14(11)² → 14(121) →     1 (4+1) 21 →1521

Get the required answer 39² = 1521

38² →   Step 1^st    50 – 38 = 12

             Step 2^nd   25 – 12 = 13

             Step 3^rd   Arrange it like this 13(12)² → 13(144) →     1 (3+1) 44 →1444

Get the required answer 38² = 1444

37² →   Step 1^st    50 – 37 = 13

             Step 2^nd   25 – 13 = 12

             Step 3^rd   Arrange it like this 12(13)² → 12(169) →     1 (2+1) 69 →1369

Get the required answer 37² = 1369

36² →   Step 1^st    50 – 36 = 14

             Step 2^nd   25 – 14 = 11

             Step 3^rd   Arrange it like this 11(14)² → 11(196) →     1 (1+1) 96 →1296

Get the required answer 36² = 1296

To be continued like this upto 26 only (this trick is valid for 26 to 49)