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Squaring of any two digit number within fraction of seconds(Note its only for 2 digit numbers)

We already shared Part 2/[Tutorial 2 click here to go] Maths Tricks|Aptitude Tricks|Speed Maths|Fast Calculation|mental maths tricks,maths. So in this Tutorial 3 we gonna share maths tricks and shortcut key to do fast mental calculation for squaring 2 digit number.This will be very useful for competitive exam.keep practice more problem based on this

Square of any 2 digit number by using simple steps to get solutions in easy way without taking even 5 seconds

Method 1 :Note:Below examples are near to 50 square numbers

Question 1: Square of 10 or 10^2 
Answer: 100 its easy to get solution but see next question
Question 2: Square of 47 or 47^2 
Answer:
Rule :1
step 1:check the number is near to 50 if yes
step 2: 50-47=3
           Now subtract (50-47 difference) i.e 3 from   25  we get 25-3= 22

Step 3: Now  Square that difference number (50-47 difference) i.e 3
             We get 09 
Step 4: solution 47^2=(25-3)3^2
              Ans:=:2209
Question 3: 42^2 =(25-8)8^2
                Ans=  1764
Question 4: 56^2 = (25+6)6^2
                 Ans=  3136 
 Question 5: 65^2 = (25+15)15^2
                Ans =
                           step 1: (40)15^2  
                           Step 2: 40(225) make that as four digit i.e assume 40(00)+225 =4225

Method 2 , Note:Below examples are near to 100 square numbers

Example 1: 92^2 =(92-8)8^2
                Ans=  (84)8^2
                Solution is ----- = 8464
Example 2: 96^2 =(96-4)4^2
                Ans=  (92)4^2
                Solution is ----- = 9216
Example 3: 84^2 =(84-16)16^2
                Ans=  (68)16^2
                           (68)256      ---> 6(8+2)56 {{make that as four digit i.e assume68(00)+256}}
                Solution is ----- = 7056
Example 4: 104^2 =(104+4)4^2
                Ans=  (108)4^2
                           (108)16      ---> 10816 {{make that as five digit i.e assume108(00)+16}}
                Solution is ----- = 10816
Example 5: 112^2=(112+12)12^2
                  Ans: (124)12^2  ---> (124)144 {{make that as five digit i.e assume124(00)+144}}
 Solution is ----- = 12544

Most common method/trick for solving all two digit numbers from 1 to 100 square in our head or without calculator

 Example a:  67^2 ==== [6^2]...[7^2]+20*6*7=[3649]+840...... i.e [3649]+840= 4489
 Example b:  25^2====[2^2]....[5^2]+20*2*5=[0425]+200......i,e., 625
 Example c:   74^2====[7^2]....[4^2]+20*7*4=[4916]+560.......i.e., 5476
                    

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