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## Short Tricks for Squares

Oct

21

2012

In many question papers squares of numbers are asked . In the same way in some questiona also we have to solve some squares so here is the solution for getting squares of numbers in seconds

1. How to get the square of the number which is ending with 1 like there is the question 21×21 = ?

then first of all get the square of the last number which is always very easy . Here it 20x 20 =400 then multiply the last number with two like last number is 20 so 20x 2 is 40 then add it in 400 +40 =440 and in it add 1 =441 it is the square of 21

31 30 x 30 is 900 then 30×2=60 +1 + 961

Try this trick in 41 , 51 61

2. How to get the square of the number which is ending with 2

Like number is 12 , Get the square of two number before it which is 10 then multiply that number 10 with 4 and then add 4 in it and then add that in the square of that number like 100 is the square of 10 then multiply it with 4 that is 40 add 4 in it . It will be 44 and then add this 44 in 100 that will be 144

If we take 32 then 30 x 30 is 900 then 30 x 4 is 120 add 4 in it that will be 124 and now add this in 900 that is 1024 it is the square of 32

3 . How to get the square of the number which is ending with 3 then get the square of the number which at last third position like if the number is 13 then get the square of 10 . Then multyply then both digits of the number twice like the number is 13 then multiply 3×1 +3×1 = 6 and then put 9 at its right hand side and add it in the square of that 100 like 13 = 10 x 10=100 , 1×3=1×3=6 , Put 9 after 6 it will be 69 and then add 60 in 100 that will be 169

example two – 43 = 40x 40 =1600 , 4×3+4×3=24 , put 9 after if it will be 249 add it in 1600 that will be 1849 the square of 43

4 . How to get the square of the number ending with 9 – First of all get the square of the number next to it then substract the next number + the orignal number from it . the number will be the square of it .

For example – 29 . The square of 30 is 900 now substract 30+29 from it that will be 59 means 900-59 =841

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## Answer #1

nice article..well explained..thanx..