Page 117 - Grade 10 C.Math
P. 117

-u √2 × √2                           -3_ √4 × √2
               4.   ;/n ug'{xf];\ M

                   -s_ 3√18 × 2√12                      -v_ 5√12 × 7√6

                   -u  √3 + √2  √3 − √2                 -3_  4√5 − 7√2  3√5 + 4√2
               Curriculum Development Centre
                                                            √  ×√  ×√
                   -ª_ 27√24 ÷ 9√12                     -r_
                                                              √  ×√

                                                              '
               5.    s'g} 5 cf]6f km/s d"n lrxg ePsf ;8{x¿ n]Vgxf];\ . tLdWo] s'g} 4 cf]6f ;8{x¿nfO {
                                           \
                                                                            '{
                   u'0fg  ugxf];\  /  kfFrf}F  ;8{n]  pSt  u'0fg  kmnnfO{  efu  ugxf];\  .  k|fKt  clGtd
                            '{
                   kl/0ffdnfO{ sIffsf]7fdf k|:t't ugxf];\ .
                                                 '{

               9.3   cfg'kftLs/0f (Rationalization)
                   lgDg lnlvt k|Zgx¿df 5nkmn u/L k|fKt glthfnfO{ sIffsf]7fdf k|:t't ug'{xf];\ M


                        sf] x/nfO{ s;/L ;8{/lxt agfpg ;lsG5 xf]nf <
                   √
                          sf] x/nfO{ s;/L ;8{/lxt agfpg ;lsG5 xf]nf <
                   √  √

                 ;8{;lxt leGgsf] x/nfO{ ;8{/lxt agfpg] lj|mofnfO{ x/sf] cfg'kftLs/0f (rationalization)
                 elgG5 .


               olb  s'g}  cgfg'kflts  kb  √  +     eP  o;sf]  cfg'kflts  v08  (Rationalising  factor)
               √x −  y x'G5 .   √x +  y  / √x −  y  nfO{ Ps cfk;df u'0fg ubf{ cfg'kflts u'0fg
               v08 (x-y) k|fKt x'G5 .

               pbfx/0f

               1.       sf] nfO{ cfg'kftLs/0f ug'{xf];\ .
                    √
                   ;dfwfg

                                                            \
                   oxfF     sf] x/df √3 5, h'g cgfg'kflts ;ªVof xf] .
                        √
                                                        10    √3
                   To;}n], c+z / x/ b'j}df √3 n] u'0fg ubf{    ×
                                                        2√3   √3
                                                           √     √
                                                          =   =
                                                           ×


               114                                                            ul0ft, sIff – 10
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