Page 112 - Grade 10 C.Math
P. 112

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               -s_ ;8{ ;DaGwL sxL tYox¿ (some facts about surds)
                   -c_     √7 ;8{sf] j|md 4 xf] eg] √11 ;8{sf] j|md 2 xf] .

                   -cf_  √17 Ps k"0f{ ;8{ (pure surd) sf] pbfx/0f xf] h;n] cgfg'kflts ;ªVofnfO{
                                                                                    \
                         hgfpF5 .
               Curriculum Development Centre
                   -O_   4√5 Ps ldl>t ;8{sf] pbfx/0f xf] h;n] cfg'kflts ;ª\Vof (rational number)
                         / k"0f{ ;8{ (pure surd) sf] u'0fg kmnnfO{ hgfp5 .
                                                                  F
                   -O{_   2√5  /  6√5 ;dfg ;8{x¿ x'g\ lsgls logLx¿sf] d"n lrx\gleq Pp6} ;ª\Vof
                         5 .



                                                                              \
                   -p_  √7  /  √11 c;dfg ;8{x¿ x'g lsgls logLx¿sf] d"n lrxgleq km/s km/s
                                                      \
                         ;ªVofx¿ 5g . ;fy} d"n lrxgx¿ klg km/s km/s 5g .
                                                   \
                                     \
                            \
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                                             \

                                                         \
                                   |
                                                                          }

                                                                     \
                   -pm_  ;8{x¿sf] jmd d"n lrxgdf /x]sf cªsn] hgfpF5g, h:t M  5,  √6,  √9
                                                              '
                          |
                                                 |
                                                               \
                         jmdzM bf];|f], t];|f] / kfFrf}F jmdsf ;8{x¿ xg .
               pbfx/0fx¿


               1 =  √27 /  √   ;8{x¿sf] j|md n]Vg'xf];\ .
                   ;dfwfg
                                                 }
                    √27 df ;8{sf] jmd 4 5 . To:t,  √    df ;8{sf] jmd n 5 .
                                                                  |


                                    |
               2.   √288 nfO{ ;/n ¿kdf JoSt ug'{xf];\ .
                   ;dfwfg
                   √288 = √2 × 12 × 12 = 12√2

                                                        '{
               3.   ldl>t ;8{nfO{ k"0f{ ;8{sf ¿kdf JoSt ugxf];\ .


                   -s_           -v_


                   ;dfwfg



                  -s_       =            ×      =     ×   ×    ×   =
                                                  ×


                   -v_                 =           ×          =         ×         =  5y




               ul0ft, sIff – 10                                                         109
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