Trick to get square of two digit number?

How to square the double digit number

This trick use simple multiplication and addition to get square of two digit number with in fraction of second. You can use this method to double any number from 11 to 99.Here we go

Let us start with number 14

Square of 14= 14 ×14

  14

×14

 196

Right Hand side digit  =        4 * 4 = 16 ,So the first digit is 6 and one carry

Second digit  =   2(1×4) + 1 = 9

Third digit  =  1 ×1 = 1

So the answer is 196

General rule for multiplication

                               

                                               2^nd digit 2(1*4) + 1 carry from first digit

                                                            1        4             4 * 4 = 16

3rd digit  (1*1 + carry2^nd digit)             1         4     

                                                          1   9     6

now 23* 23

first digit 3*3 = 9
2nd digit = 2(2*3) + carry from first here it is 0 so  2nd digit = 12
3rd digit  = 2 * 2 + carry from second digit here it is 1 = 5
answer is                 529

Try  23 27 87  99 34 and share the result with others in comment