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HOW TO FIND SQUARE ROOT QUICKLY


SQUARE ROOT TIPS AND TRICKS




First we will have to remember this table 

Number
Square
Last Digit
0
0
0
1
1
1
2
4
4
3
9
9
4
16
6
5
25
5
6
36
6
7
49
9
8
64
4
9
81
1


The last digits for the squares of 1 and 9 are both 1.
The last digits for the squares of 2 and 8 are both 4.
The last digits for the squares of 3 and 7 are both 9.
The last digits for the squares of 4 and 6 are both 6.


Now suppose we want to find the square root of 3249

  Step-1 :  Ignore the last two digit i.e 49
                Consider only 32
                 Now 5^2=25 will be the number which is close to 32 because 6^2=36 is greater than 25
                Right digit of square root will be 5

Step-2 ; Now Consider last digit of given number i.e 9
              So left digit of our result will be either 3 or 7.

Step-3 : Now how to confirm whether it will be 3  or 7.
             To confirm it just add 1 to result which we got in step-1 i.e 5
             5+1=6
             Now multiply these two number i.e 5 and 6
            5*6=30 which less then left part of given number i.e 3249 
             So from 3 and 7 , we will consider the greater number i.e 7

Step- 4 : So final answer will be 57

         Note : if multiplication of result and result+1 is greater than the left part of the given number then we will have to consider the smaller one from two number as in above example we consider 7 from 3 and 7 because multiplication i.e 30 was less than left part i.e 32.



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