Cours Racines Carrees

 

0ånd 1 @empktrd== 1 Bds rm`kfds `mrrëds. =. Gëhkfktklf  Plkt m uf flncrd plsktkh. Bm rm`kfd `mrrëd `mrrëd gd m dst dst bd flncrd plsktkh glft bd `mrrë dst m. m.  Bm rm`kfd `mrrë `mrrë gd m sd fltd

 . Lf m

.

 Sdnmrquds 1 =. Bd Bm skjfd rm`kfd `mrrëddst g'uf flncrd fëjmtkh f'dxkstd pms 3. mppdbë rmgk`mb  0. Yrklrktë gds lpërmtklfs 1 ]umfg lf ë`rkt , lf slus-dftdfg bds pmrdfteåsds

.

3. Såjbds gd `mb`ubs 3.= Sm`kfd `mrrë g'uf prlgukt .

 Plkdft m dt c gdux gdux flncrds plsktkhs ? lf m Dflf`ë= 1 Pknpbkhkdr b'ë`rkturd gd

 plur qu'lf fd trluvd  pbus qu'uf sdub rmgk`mb. Plbutklf 1

Dflf`ë3 1 Ë`rkrd

Dflf`ë0 1 Ë`rkrd

 hlrnd rdbmtkh.

 hlrnd rdbmtkh. Plbutklf 1

slus bm mvd` m uf flncrd

slus bm mvd` m uf flncrd

Plbutklf 1  Sdnmrqud= 1 Ylur bds gdux dxdr`k`ds prë`ëgdfts, kb hmut `lffmætrd dt smvlkr rdpërdr bds flncrds gd bm

bkstd gds `mrrës pmrhmkts 1 = ? 7 ? ; ? =8 ? 34 ? 08 ? 7; ? 87 ? 5= ? =99 ? =3= ? =77 ? =8;  Sdnmrqud3 1 ]umfg m dst uf flncrd strk`tdndft plsktkh lf m 1

∑ 

m

3

>

∑ m Úm >∑ m Ú∑ m>(∑ m )

3

>m

3.3 Sm`kfd `mrrë g'uf qultkdft Plkdft m dt c gdux flncrds plsktkhs mvd`

. Lf m

3.0 Bds hlrnubds quk f'dxkstdft pms

gl` M.Jmrbmfg

pmjd =/3

@lbbåjd aubds hdrry gd Fduvds Nmkslfs

 

0. Dxdnpbds `bmsskquds  Dflf`ë= 1 Lf m

. Ë`rkrd M slus hlrnd

lû m dst uf dftkdr rdbmtkh.

 Dflf`ë3 1 Lf m

. Ë`rkrd C slus hlrnd

Dflf`ë0 1 Lf m mvd` m dt c gdux flncrds rdbmtkhs.

. Gëvdblppdr Gëvdblppdr @ dt ndttrd bd rësubtmt slus bm hlrnd

0ånd 1 Pl`bd

@lnnuf dt `lnpëtdf`ds -

0F39=

lû m dt c slft gds dftkdrs.

@EMYKWSD== 1 Bds rm`kfds `mrrëds  mvd` m69 sur gds vmbdurs funërkquds. funërkquds .

0F393

@mb`ubdr é bm `mb`ubmtrk`d bm vmbdur dxm`td lu mpprl`eëd gdbm rm`kfd `mrrëd g‛uf flncrd plsktkh.

0F397 0F39 7

Wrmfs Wrmfshlrndr hlrndr b'ë b'ë`rkturd `rkturd g'uf g'uf rmgk`mb rmgk`mb slus bm hlrnd bm nkdux mgmptëd mgmptëd é ufd sktu sktumtklf mtklf glffëd. glffëd.

0F394 0F39 4

Nubt Nubtkpbkdr kpbkdr / gkvksdr gkvksdr gd gds s rmgk`mux rmgk`mux (vmbdu (vmbdurs rs fu funërkqu nërkquds). ds).

P@004 P@004

P@004 1 Pl`bd `lnnuf Ymbkdr0 (`lbbåjd) ? @lnpëtdf`d0 (Bds prkf`kpmux ëbëndfts gd nmteënmtkquds dt bm `ubturd s`kdftkhkqud dt td`eflbljkqud) ? Weånd 1 Pmvlkr utkbksdr gds `lffmkssmf`ds dt gds `lnpëtdf`ds nmteënmtkquds ? Ktdn 1 Flncrds dt `mb`ubs 1 `lffmætrd dt utkbksdr bds flncrds dftkdrs, gë`knmux dt hrm`tklffmkrds. Ndfdr é ckdf uf `mb`ub 1 ndftmb, é bm nmkf, é bm `mb`ubmtrk`d, mvd` uf lrgkfmtdur 

gl` M.Jmrbmfg

pmjd =/3

@lbbåjd aubds hdrry gd Fduvds Nmkslfs