In the previous edition we have discussed about the relevance of Vedic Mathematics in the modern days. We are very happy to note that even students of Computer Engineering and similar faculties are given a crash course on Vedic Mathematics to improve their intelligence. This proves our point.
In this edition, we shall be dealing with just 2 easy soothras to apprise the readers of their easy application:
This soothra deals with finding the square of 2 digit numbers ending with 5.
In any multiplication of which square is only a modification, there will be a multiplicant and a multiplier. The latter is written under the former.
This soothra says that the digit on the left hand side of the multiplier should be increased by 1 and then both the right hand side digits and the left hand side digits should be multiplied independently to get the square of the original number.
a) 15 x 15 x b) 25 x 25 x (c) 35 x 35 x
15 (2)15 25 (3)25 35 (4)35
-- ----- -- -- -----
2 25 625 1225
d) 45 x 45 x e) 55 x 55 x (f) 65 x 65 x
45 (5)45 55 (6)55 65 (7)65
-- ----- -- -- -----
2025 3025 4225
g) 75 x 75 x h) 85 x 85 x (i) 95 x 95 x
75 (8)75 85 (9)85 95 (10)95
-- ----- -- -- ------
5625 7225 9025.
With some ingenuity the same rule can be applied to 3 digit numbers also.
995 x 995 x
995 (100) 995
--- ---------
990025
SOOTHRA 2 : - ANTHYAYORE DASAKE API.
This soothra says that the method elucidated in soothra 1 can also be applied to multiplication of numbers where left hand side digits are the same, but the right hand side digits are such that their total adds to 10.
a) 14 x 14 x b) 23 x 23 x 16 (2)16 27 (3)27 -- ----- -- ----- 224 621c) 32 x 32 x d) 41 x 41 x so and so forth. 38 (4)38 49 (5)49 -- ----- -- ----- 1216 2009
Similarly 994 x 994 x 996 (100) 996 --- --------- 990024.
Readers can appreciate the easy applicability of this Vedic Soothras only if they simultaneously do the multiplication by the normal method and find the difference in time consumed and efforts taken.