Page 115 - Grade 10 C.Math
P. 115

;dfwfg





                    √48a b + √243a b − √1875a b
                   = √2 × 2 × 2 × 2 × 3a × b × b + √3 × 3 × 3 × 3 × 3a × b × b − √3 × 5 × 5 × 5 × 5a × b × b
                                                                     4
                                             4
                     4
                                                                                   4
                                                                                       4
                                                                  2
                                   4
                                          2
                                       4
                                                           4
                                                               4
                                                                                          2



                   = 2ab  3b + 3ab  3b − 5ab  3b



               Curriculum Development Centre

                   = (2ab + 3ab − 5ab)   3b


                   = 0 3b = 0

                           2
                   s]   √5  = √5  × √5 = √25 x'G5 <



                                    ]

                        3

                   olb 2 = 8 x'G5 eg s] 2 = √8 = √2 × √2 × √2 n]Vg ;lsG5 < 5nkmn ug'{xf];\ .

                    ;8{x¿sf] u'0fg lj|mof ug{ ;8{x¿sf] j|md Pp6} x'g'k5{ . d"n lrxgleqsf] kl/df0f
                                                                           \
                    Pp6} jf km/s klg x'g ;S5 .

                                                                     3
               3.  u'0fg ugxf];\ M      -s_ √2 × √7           -v_ √2 × √2
                           '{
                   ;dfwfg
                   -s_ √2 × √7 = √2 × 7 = √14



                         -v_√2 × √2 = √2 × √2             -2 / 3 sf] n=;= = 6_


                                                       = √8 × 4


                                     = √32                  [2 = 8, 2 = 4]


                    ;8{x¿sf] efu lj|mofdf ;8{x¿sf] j|md Pp6} x'g'k5{ . d"n lrxgleqsf] kl/df0f
                                                                            \
                    Pp6} jf km/s klg x'g ;S5 .


               4.  ;/n ug'{xf];\ M √a b c ÷ √81a b c


                   ;dfwfg

                     a b c ÷  81a b c


               112                                                            ul0ft, sIff – 10
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