I am going to guide you for faster
calculation of square with the help of some tricks. If you have prepared the procedure/ trick for the
square of natural numbers from 25 to 50 then this tricky method of calculation
of square of other numbers will help you to save your time in calculation of the square of numbers (51 to 74),
but practice is needed and compulsory. Its a expert advice not to avoid it.
but practice is needed and compulsory. Its a expert advice not to avoid it.
In this
range we use the trick which uses 25
& 50
Method :-
Step 1st :- Subtract 50 from these numbers
& get the difference.
Step 2nd :- Now add the above difference to 25
& get the result.
Step 3rd :- Now follow the above result with
the square of the difference of 1st step in 2- digit only
Demonstration
of above method:-
512
→ Step
1st 51 – 50 = 01
Step 2nd
25 + 01 = 26
Step 3rd
Arrange it like this 26(01)2 → 2601
Get the
required answer 512 = 2601
522
→ Step
1st 52 – 50 = 02
Step 2nd
25 + 02 = 27
Step 3rd Arrange
it like this 27(02)2 → 2704
Get the
required answer 522 = 2704
532
→ Step
1st 53 – 50 = 03
Step 2nd 25 + 03
= 28
Step 3rd Arrange
it like this 28(03)2 → 2809
Get the
required answer 532 = 2809
542
→ Step
1st 54 – 50 = 04
Step 2nd 25 + 04
= 29
Step 3rd Arrange
it like this 29(04)2 → 2916
Get the
required answer 542 = 2916
562
→ Step
1st 56 – 50 = 06
Step 2nd 25 + 06
= 31
Step 3rd
Arrange it like this 31(06)2 → 3136
Get the
required answer 562 = 3136
572
→ Step
1st 57 – 50 = 07
Step 2nd
25 + 07 = 32
Step 3rd
Arrange it like this 32(07)2 → 3249
Get the
required answer 572 = 3249
582
→ Step
1st 58 – 50 = 08
Step 2nd
25 + 08 = 33
Step 3rd Arrange
it like this 33(08)2 → 3364
Get the
required answer 582 = 3364
592
→ Step
1st 59 – 50 = 09
Step 2nd 25 + 09
= 34
Step 3rd Arrange
it like this 34(09)2 → 3481
Get the
required answer 592 = 3481
612
→ Step
1st 61 – 50 = 11
Step 2nd
25 + 11 = 36
Step 3rd
Arrange it like this 36(11)2 → 36(121) → 3 (6+1) 21 →3721
Get the
required answer 612 = 3721
622
→ Step
1st 62 – 50 = 12
Step 2nd
25 + 12 = 37
Step 3rd
Arrange it like this 37(12)2 → 37(144) → 3 (7+1) 44 →3844
Get the
required answer 622 = 3844
632
→ Step
1st 63 – 50 = 13
Step 2nd 25 + 13
= 38
Step 3rd
Arrange it like this 38(13)2 → 38(169) → 3 (8+1) 69 →3969
Get the
required answer 632 = 3969
642
→ Step
1st 64 – 50 = 14
Step 2nd 25 + 14
= 39
Step 3rd
Arrange it like this 39(14)2 → 39(196) → (39+1) 96 →4096
Get the
required answer 642 = 4096
To be
continued like this upto 51 only (this trick is valid for 51 to 74 only.)
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