Yavadunam - Shorcut to find Cube of a Number Specific Condition Required for Yavadunam sutra: Number need to be closer to power of 10.(10, 100, 1000, etc). Examples: (Self Explanatory) Lets see examples for how to find Cube of a Number using Yavadunam in Vedic Mathematics. … [Read more...]
Yavadunam – Shortcut to square a number in Vedic Mathematics
Yavadunam Tavadunikritya Varga Yojayet Shortcut method in Vedic Mathematics to square a number when it is closer to power of 10 (10/100/1000...) Commonly called as Yavadunam Sutra Sanskrit Name: यावदूनम् तावदूनी्क्रूत्य वर्ग च् योजयेत् English Translation: Square its Deficiency i.e. Whatever the extent of its deficiency/excess is, reduce/increase it still further to that extent and also square its deficiency/excess. Specific Condition Required: Numbers need to be close* to power of 10 (10, 100, 1000, etc). Example with proof: 82 = (10-2)2 = 100 – 40 + 4 = 10(10-4) + 4 = 10(10-2-2) + 22 = 10(8-2) + 22 = (8-2)/22 = 64 {Where First term at tens place and last term at Units place} Also Check, more Shortcuts to Square a number in Vedic Mathematics. More Examples: 92 = (9-1)/12 = 8/1 = 81 Here 9 is 1 less than 10(Base 10), So deficiency =1 Reduce it still further to that extent, So (9-1) = 8. Square its deficiency, So 12 = 1 . Final Answer: 81 132 = (13+3)/32 = 16/9 = 169 Here 13 is 3 more than 10(Base 10), So Excess = 3 Increase it still further to that extent, So (13+3) = 16 Square its excessive, So 32= 9 Final Answer: 169 182 = (18+8)/82 = 26/64 = 32/4 = 324 Here 18 is 8 more than 10(Base 10), so Excess = 8 Increase it still further to that extent, So (18+8) = 26 Square its excessive, So 82= 64. As we are using Base 10, 6 gets carry forwarded to other side. Final Answer: 324 Similarly, Trick to square number using Yavadunam which is closer to 100/1000 (Base 100/1000) is: 932= (93-7)/72 = 86/49 = 8649 892= (89-11)/112 = 78/121 = 7921 1132 = (113+13)/132 = 126/169 = 12769 10022 = (1002+2)/22 = 1004/004 = 1004004 httpv://youtu.be/S7G1uAK6c-s … [Read more...]