How to find square root of any number

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Square root is symbolized by ( √ ) . √9 is 3 because 3×3=9.Finding Small numbers of square root is easy, For big numbers you need to learn  trick .Trick is provided bellow .after learning tricks you will be to find square root of any number.

Before going to tricks some basic examples

Some examples:-

√4=2   

√16=4  

√25=5

How do I calculate square root:-

Square root is done by three steps

Before starting you need to learn some basic things

12=1

22=4

32=9

42=16

52=25

62=36

72=49

82=64

92=81

102=1000

If you don’t know these don’t worry read this 4-5 times you can learn it easily

Lets move towards trick

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12=1 22=4 32=9 42=16 52=25 62=36 72=49 82=64 92=81 102=1000    

Find  √3136

Step 1:-         √3136

Consider 1st two numbers here 31

Now take the number which square is lesser than 31

So here 62=36 greater than 31  

So we find our 1st number 5

Step 2:-  

Check last number     (√3136)

          Here last number is   6

Again check table of squares which end came 6

Here 42=16,62 =36

So we got here 4 and 6

Step 3:-  

Now 1st number (5) is multiplied by next number (5+1=6)

So 5×6=30

1st two numbers(31) are greater than 30 so between 4 or 6 big number 6 came

(*****If it is lesser than the number smaller number came )

So (√3136) =56

Taking another example it will be clear to you

12=1 22=4 32=9 42=16 52=25 62=36 72=49 82=64 92=81 102=1000    

Find  √1936

Step 1:-         √1936

Consider 1st two numbers here 19

Now take the number which square is lesser than 19

So here 52=25 greater than 16  

So we find our 1st number 4

Step 2:-  

Check last number     (√1936)

          Here last number is   6

Again check table of squares which end came 6

Here 42=16,62 =36

So we got here 4 and 6

Step 3:-  

Now 1st number (4) is multiplied by next number (4+1=5)

So 4×5=20

1st two numbers(19) are less than 20 so between 4 or 6 small number 4 came

So (√1936) =44

Related topic need to learn :-

Find square root of a non-perfect square number

How to find square of any number –math tricks easy

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if you are preparing for government examination or you are a student of collage or school fast calculation helps to improve score.

Here discussed about how to find square of any number .After learning this topic you will be able to solve square questions less than 5 sec. .

After learning find square of any number trick you will be able to solve any square related problem easily with accuracy.

  • WHAT IS SQUARE?

Square is multiplication of same number two times. It represented by ( 2 )

Example:-22=22×22

33=33×33

SOME RELATED TOPICS:-
Calculate square root in 5 sec
Find cube root in your mind
Find cube of any number
square root table 1-100
 square table 1-100


  • MATH TRICK:-

It followed by 3 steps

Step 1:- Square last number

 Ex- 46(last number is 6)

        So             62

                           36

Last digit is 6 fixed and 1st digit (3 )add to the step 2

 462=_ _ 6

Step 2:- Multiply 3 numbers

       Ex- 462

Two numbers are 4 & 6 and square (2)2 is a number

   So 4×6×2 =48

  Add three from step 1

   48+3=51

 Take last digit (1) and add 1st(5) digit to next step

 462= ­= _1 6

Step 3:- Square 1st digit and add 5 from step 2

 42=16

So 16+5=21

So 462=2116

Taking another example :-

              342

Step 1:- Square last number

      Ex- 34(last number is 4)

     So             42

                    16

Last digit is 6 fixed and 1st digit (1 )add to the step 2

 342=_ _ 6

Step 2:- Multiply 3 numbers

       Ex- 342

Two numbers are 3 & 4 and square (2)2 is a number

   So 3×4×2 =24

  Add 1 from step 1

   24+1=25

 Take last digit (5) and add 1st(2) digit to next step

 342= ­= _5 6

Step 3:- Square 1st digit and add 5 from step 2

     32=9

   So 9+2=11

So 342=1156

This Math trick is applicable for any two digit number.

Related topic

Learn square trick of any 3 digit number