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Mar112008

03:29:54 pm
PIYUSH TABLE ,FORMULA FOR SQUARE,IT IS NEW TO THE WORLD











"PIYUSH TABLE AND FORMULA FOR SQUARE"










 


















             N2 =   0   + (20 N1 – 19) N + (2 N – 2) N / 2) N / 2



                              N2² = N² + 20 N N1 – 20N + 0






             N2 = 100 + (20 N1 – 19) N + (2 N – 2) N / 2



                               N2² = N² + 20 N N1 – 20N +100






             N2 = 400 + (20 N1 – 19) N + (2 N – 2) N / 2



                               N2² = N² + 20 N N1 – 20N +400






             N2 = 900 + (20 N1 – 19) N + (2 N – 2) N / 2



                               N2² = N² + 20 N N1 – 20N +900









          WHERE






                   N   = FIRST DIGIT OF WHICH NUMBER,S SQUARE



                  



                   N1 = VALUE GET FROM TABLE






                   N2 = NUMBER OF WHICH YOU SQUARE






FOR EXAMPLE



                            



                   9 = 0 + (20 × 1 – 19) 9 + (2 × 9 – 2)9/2



                      = 0 + 9 + 72



                      = 81






                   11 = 100 + (20 × 2 – 19) + (2 × 1 – 2)1/2



                       = 100 + (40 – 19) + 0



                      = 100 + 21


                      = 121      


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