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Extension of Vedic Mathematics Sutras for calculation of Square

Komal Asrani
Komal Asrani
, 
Anuradha Gupta
Anuradha Gupta
 et 
Deepak Asrani
Deepak Asrani
   | 03 juin 2024
International Journal of Mathematics and Computer in Engineering's Cover Image
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Article Category: Original Study
Publié en ligne: 03 juin 2024
Pages: -
Reçu: 17 oct. 2023
Accepté: 09 févr. 2024
DOI: https://doi.org/10.2478/ijmce-2025-0009
Mots clés
© 2025 Komal Asrani et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Table summarizes calculation for series of values using proposed methodology.

Value LHS (Initial Value)(p2 p1)2 LHS(Series Value) (a0 + nd) LHS= Initial Value+Series Value RHS (p1 p0)2 Answer
1402 10 * 142 = 196 a0 = −42 = −16 19616 = 180 402 = 1600 180|1600 = 196|00
1412 10 * 142 = 196 a0 + d = −42 + 2 = −14 196 − 14 = 182 412 = 1681 182|1681 = 198|81
1422 10 * 142 = 196 a0 + 2d = −42 + 2 * 2 = −12 196 − 12 = 184 422 = 1764 184|1764 = 201|64
1432 10 * 142 = 196 a0 + 3d = −42 + 3 * 2 = −10 196 − 10 = 186 432 = 1849 186|1849 = 204|49
1442 10 * 142 = 196 a0 + 4d = −42 + 4 * 2 = −8 196 − 8 = 188 442 = 1936 188|1936 = 207|36
1452 10 * 142 = 196 a0 + 5d = −42 + 5 * 2 = −6 196 − 6 = 190 452 = 2025 190|2025 = 210|25
1462 10 * 142 = 196 a0 + 6d = −42 + 6 * 2 = −4 196 − 4 = 192 462 = 2116 192|2116 = 213|16
1472 10 * 142 = 196 a0 + 7d = −42 + 7 * 2 = −2 196 − 2 = 194 472 = 2209 194|2209 = 216|09
1482 10 * 142 = 196 a0 + 8d = −42 + 8 * 2 = 0 196 − 0 = 196 482 = 2304 196|2304 = 219|04
1492 10 * 142 = 196 a0 + 9d = −42 + 9 * 2 = 2 196 + 2 = 198 492 = 2401 198|2401 = 222|01
1502 10 * 152 = 225 a0 = −52 = −25 22525 = 200 502 = 2500 200|2500 = 225|00
1512 10 * 152 = 225 a0 + d = −52 + 2 = −23 225 − 23 = 202 512 = 2601 202|2601 = 228|01
1522 10 * 152 = 225 a0 + 2d = −52 + 2 * 2 = −21 225 − 21 = 204 522 = 2704 204|2704 = 231|04
1532 10 * 152 = 225 a0 + 3d = −52 + 3 * 2 = −19 225 − 19 = 206 532 = 2809 206|2809 = 234|09
1542 10 * 152 = 225 a0 + 4d = −52 + 5 * 2 = −17 225 − 17 = 208 542 = 2916 208|2916 = 237|16
1552 10 * 152 = 225 a0 + 5d = −52 + 5 * 2 = −15 225 − 15 = 210 552 = 3025 210|3025 = 240|25
1562 10 * 152 = 225 a0 + 6d = −52 + 6 * 2 = −13 225 − 13 = 212 562 = 3136 212|3136 = 243|36
1572 10 * 152 = 225 a0 + 7d = −52 + 7 * 2 = −11 225 − 11 = 214 572 = 3249 214|3249 = 246|49
1582 10 * 152 = 225 a0 + 8d = −52 + 8 * 2 = −9 225 − 9 = 216 582 = 3364 216|3364 = 249|64
1592 10 * 152 = 225 a0 + 9d = −52 + 9 * 2 = −7 225 − 7 = 218 592 = 3481 218|3481 = 252|81
1602 162 = 256 −62 = −36 256 − 36 = 220 602 = 3600 220|3600 = 256|00
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