Square Trick


Squares of Numbers having 5 in the Units Place

This trick makes it easy to find the squares of numbers with digit 5 in the unit place. 
Just like 25 x 25 
to solving this question we use simple trick like this  
 
  25
x 25
625 


in that u first write 25 at their tens place and for hundred place u only need to multiple 2 with its consecutive number. 
so in  (25)2    2  x 3  25 = 625

Other Examples are 

(45) 4 x 5   25 = 2025  (here we only need to multiply 4 with its consecutive number and write 25 at their tens place)

(85) 8 x 9   25 = 7225  (here we only need to multiply 8 with its consecutive number and write 25 at their tens place )

(115)11 x 12   25 = 13225  (here we only need to multiply 11 with its consecutive number and write 25 at their tens place)


Squares of 2 digit number 

This trick makes it easy to find the squares of 2 digit numbers

Example (36)
This trick involves 3 steps like this 
First Step :-
3 x 6 x 2 =  36    ( here we always multilpy the number with 2 because we squaring)

Second Step :-
(3)(6) 2   

0936 (find sqaures of numbers)

Third Step :-
 0936 
+ 36
1296
Ans :-  1296

in this firstly we need to multiply everyone just like 3 x 6 x 2 and than square the numbers like (3)(6)and than add the number with 36 always remember that leave unit place as it is. u should add with tens place not with unit place.
 
Example (52)
This trick involves 3 steps like this 

First Step :-
5 x 2 x 2 =  20    ( here we always multilpy the number with 2 because we squaring)

Second Step :-
(5)(2) 2   

2504 (find sqaures of numbers)

Third Step :-
 2504 
+20  
2704
Ans :-  2704

Other Examples are 
(72) 2   =  5184  (first step 7 x 2 x 2 = 28, now squaring of the number 7 and 2 are 4904, add it with 28 while adding write unit number 4 as it is.)
(98) 2   =  9604 (first step 9 x 8 x 2 = 144, now squaring of the number 9 and 8 are 8164, add it with 144 while adding write unit number 4 as it is) 


 
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