Let us find square of number 34
1.Make 3 blocks for answer.2.Write square of digit at unit place in 3rd block and square of digit at tens place in 1st block.(sq. of 4=16,write it in 3rd block and sq. of 3=9,write it in 1st block)
3.Find product of two digit and write answer in 2nd block.(3×4=12,write it in 2nd block)
4.By doing so u will find that ratio of 1st block number to 2nd block number, is equal to the ratio of 2nd block number to 3rd block. (i.e 9:12=12:16)
5.In 2nd block write the same number again.
6.For getting ans. add the numbers written in same block. While writing ans in 2nd and 3rd block you can write one 1 digit and the left digit will be carry over by the other block.
1st 2nd 3rd
9 12 16
+12
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6
You can write 6(only 1 digit)in 3re block and 1 will be carry over to next block so in next block u will get 12+12+1=25 and u can write only 1 digit so write 5 and 2 will be added with number in 1st block. In 1st block u will get 9+2=11. In 1st block u can write more than 1 digit.
Have a look
1st 2nd 3rd
9 12 16
+12
---------------------------------------------------------------------------
11 5 6
Ans is 1156(34)² = 1156
Let us take one more number 63
1st 2nd 3rd
36 18 9
+18
------------------------------------------------------------------
39 6 9
Ans - square of 63 is 3969
Let us take one last number 97
1st 2nd 3rd
81 63 49
+63
-----------------------------------------------------------------
94 0 9
Ans-square of 97=9409
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ReplyDeletehmmm...quite an easy method....will use this one.....now onwards....
ReplyDelete