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vrgmUl

vrgmUl. iqAwr krqw. cYptr: 1 jmwq- ATvIN ivSw- gixq. AjY kumwr srmW (mYQ mwstr). srkwrI sInIAr sYkMfrI skUl mrdWpur. audys. ividAwrQI nMU vrgmUl kI hY d`sxw[ ividAwrQI nMU vrgmUl dI ivDI rwhI iksI sMKIAW dw vrgmUl k`Fxw d`sxw[ vMf ivDI bwry ividAwrQIAW nUM jwxU krwauxw[

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vrgmUl

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  1. vrgmUl iqAwr krqw cYptr: 1 jmwq- ATvIN ivSw- gixq AjY kumwr srmW (mYQ mwstr) srkwrIsInIArsYkMfrIskUlmrdWpur

  2. audys ividAwrQI nMU vrgmUl kI hY d`sxw[ ividAwrQI nMU vrgmUl dI ivDI rwhI iksI sMKIAW dw vrgmUl k`Fxw d`sxw[ vMf ivDI bwry ividAwrQIAW nUM jwxU krwauxw[ ABwj guxnKMf ivDI bwry ividAwrQIAW nUM jwxU krwauxw[

  3. vMf ivDI rWhI 27225 dw vrgmUl pqw krnw

  4. id`qI sMiKAw dy iekweI vwly AMk qoN joVy bxwau Aqy auhnW au`qy bwr dw icMn lgwau[ 27225

  5. pihlW K`by AMk (2) dy smwn jW ausqoN Cotw pUrn vrg lau ijvyN 1 x 1 = 1 1 1 27225 1

  6. do ivcoN ie`k Gtwaux qy iek bcygw ijs dy nwl Aglw joVw(72)auqwrx qy 172 bxygw[ 1 1 27225 1 • 172

  7. iek ivc iek joV ky pRwpq (2)nUM 172 dy swmxy drswey Anuswr ilKo[ 1 1 27225 1 2 172

  8. 172 dy AMk 2 nwl Aijhw AMk lau ijs nwl pRwpq sMiKAw nMU ausy AMk nwl guxw krn qy guxnPl 172 jW aus qoN G`t sMiKAw pRwpq ho jwvy Aqy nvW BwgPl 16 bx jwvygw[ 16 1 2 72 25 1 2 6 172 * 6 156

  9. 26 nMU 6 nwl guxw kr ky guxnPl (156) nMU 172 ivcoN Gtwaux qy sMiKAw 16 pRwpq hovygI [ • 16 • 1 2 72 25 • 1 • 2 6 172 • 6 156 • 16

  10. 16 dy nwl Aglw joVw 25 auqwro ijs dy nwl sMiKAw 1625 bx jwvygI[ • 16 • 1 2 72 25 • 1 • 2 6 172 • 6 156 • 16 25

  11. 26 ivc 6 joV ky 32 nMU 1625 dy swmxy iliKAw jwvygw • 16 • 1 2 72 25 • 1 • 2 6 172 • 6 156 • 32 16 25

  12. 1625 dy swmxy ilKy 32 dy s`jy pwsy Aijhw AMk lYx qy bxI sMiKAw nMU ayusy AMk nwl guxw krn qy 1625 jW ayus qoN G`t sMiKAw pRwpq hovygI ijvyN 325 x 5 = 1625 qy nvW BwgPl 165 ho jwvygw • 165 • 1 27225 • 2 6 1 • 26 172 • *6 -156 • 325 1625 • *5 -1625

  13. 1625 ivcoN pRwpq guxnPl 1625 Gtwaux qy bwkI kuJ nhI bcygw[ ies leI 27225 dw vrgmUl pRwpq BwgPl 165 ho jwvygw[ • 165 • 1 27225 • 1 • 2 6 172 • 6 -156 • 325 1625 • * 5 1625 • 0

  14. ies pRkwr 27225 dw vrgmUl 165 pRwpq ho igAw[ 27225=165

  15. ABwj guxnKMf rWhI 7744 dw vrgmUl pqw krnw

  16. sB qoN pihlW AsI 7744 dy guxnKMf bxwvWgy[ • 2 7744 • 2 3872 • 2 1936 • 2 484 • 2 242 • 11 121 • 11 11 1

  17. 7744 dy swry guxnKMf ies pRkwr ilKo 7744=2 x 2 x 2 x 2 x 2 x 2 x 11 x 11

  18. swry gunxKMfW dy ies pRkwr joVy bxw lau[ 7744 = 2x2 x 2x2 x 2x2 x 11x11 2 2 2 11 iehnW joiVAW ivcoN iek iek AMk lY lau

  19. iehnW AMkW nMU guxw kro 7744= 2 x 2 x 2 x 11

  20. 7744 = 4 x 2 x 11 7744 = 88 ies pRkwr swnMU 7744 dw vrgmUl 88 pRwpq ho jwvygw[

  21. audys ividAwrQI nMU vrgmUl kI hY bwry pqw l`igAw [ ividAwrQI nMU vrgmUl dI ivDI rwhI iksI sMiKAW dw vrgmUl k`Fxw AwieAw[ vMf ivDI rwhI ividAwrQIAW ny iksy sMiKAW dw vrgmUl pqw krn bwry pqw l`gw [ ABwj guxnKMf ivDI rwhI ividAwrQIAW ny iksy sMiKAW dw vrgmUl k`Fx bwry pqw l`gw [

  22. AiBAws 1. vMf ivDI rWhI 18225 dw vrgmUl pqw kro[2. ABwj guxnKMf rWhI 5929 dw vrgmUl pqw kro[

  23. au~qr • 135 • 77

  24. shwiek sm`grI pMjwbskUlisiKAwborfdIA`TvIjmwqdIgixqdIpusqkdIshwieqwnwl[ For more information use this link http://en.wikipedia.org/wiki/Square_root.

  25. DMnvwd

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