HOW TO CALCULATE SQUARES UPTO 125 IN 5 SECONDS


HOW TO CALCULATE SQUARES UPTO 125 IN 5 SECONDS

The only thing you have to do is to remember squares till 25 and remember them so well that if someone calls you in the night at 2 and asks you that what is square of 24 then you should say its 576 and not ki ‘Sone Do’. So believing that we all are aware of first 25 squares we will start with squares from 26 to 75

 

  • Square of any number from 40 to 60

All you have to do is to check the difference from 50 and add/subtract it from 25 and by the side of this number you have to write the square of that difference in 2 digits only (in case of 4, write 04).

 

For example: if you have to find square of 44, the first thing you have to do is to find the difference from 50, i.e. 44 is 6 less than 50 so subtract 6 from 25, and you will get 19 and square of (-6) is 36. So

 

44^2 = 1936.

 

If you have to find 58^2, the first thing you have to do is to check difference from 50, i.e. 8, so adding 8 to 25, you get 33, and 8^2=64, so combining both of them, you can say that58^2=3364

 

 

  • Square of any number from 26 to 40 and 61 to 75

Like the previous one the only difference here is that the square of the difference from 50 comes out to be a 3-digit number. So add the hundredth digit of the square to the sum obtained by adding/subtracting from 25.

 

For example: if you have to find 62^2, the difference from 50 comes out to be 12 and 12^2=144, so you have to add 1(hundredth place digit) to 25+12 and 25+12+1=38. So62^2=3844

 

If you have to find 36^2, first of all, we have to check the difference from 50, and the difference from 50 is (-14), so subtracting 14 from 25 gives me 11 and (-14)^2=196, so we have to add 1 of 196 to 11(25-14), and we get 11+1=12, now combining every thing we get36^2=1296

 

 

  •  Square of any number from 90 to 110

All you have to do is to check the difference from 100 and add/subtract double the difference of that number to 100, and by the side of this number you have to write the square of the difference.

 

For example: if you have to calculate 106^2, all you have to do is to calculate the difference 100, (i.e. 106-100=6), now adding 6×2+100, gives me 112, now 6^2=36, so combining 112 and 36, we can say that 106^2=11236

 

If you have to calculate 93^2, firstly you have to check the difference from 100, i.e. 93=100-7;  so I have to calculate 100-2(7)=86, and (-7)^2=49. So combining 86 and 49, we get93^2=8649.

 

 

  • Square of any number from 76 to 89 and 111 to 125

Just like the previous part, all you have to do is to check the difference from 100,and add/subtract that difference with 100 and along with that add the hundredth digit of the square of the difference to that sum and along with that write the unit’s and tenth of the square.

 

For example: if you have to calculate 112^2, all you have to do is to calculate the difference from

100 and 112-100=12 and 12^2=144, so adding double of the 12 and 1(hundredth place of 144) to  100, we get 100+2(12)+1=125 and putting it with 44, we get 112^2=12544.

 

And if we have to calculate 87^2, the difference from 100 is (-13), and (-13)^ 2=169, so adding double of (-13) and 1(hundredth place of 169), we get 100+2(-13)+1=75, and combining 75 and 69, we get 87^2=7569

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