8th Class Mathematics Squares and Square Roots

  • question_answer 1)
                    Find the square root of each of the following numbers by Division method:                 (i) 2304                                 (ii) 4489                (iii) 3481                               (iv) 529                 (v) 3249                                (vi) 1369                               (vii) 5776                              (viii) 7921                 (ix) 576                                 (x) 1024                                (xi) 3136                               (xii) 900

    Answer:

                    (i) 2304                
    48
    4 \[\overline{23}\]         \[\overline{04}\] ?16
    88 7              04 ?7             04
    0
                    Therefore, \[\sqrt{2304}=48\]. (ii) 4489
    67
    6 \[\overline{44}\]         \[\overline{89}\] ?36
    88 8              89 ?8             89
    0
    Therefore, \[\sqrt{4489}\,=67\].                 (iii) 3481                                               
    59
    5 \[\overline{34}\]         \[\overline{81}\] ?25
    109 9              81 ?9             81
    0
                    Therefore, \[\sqrt{3481}\,=59\]. (iv) 529
    23
    2 \[\overline{5}\]         \[\overline{29}\] ?4
    43 1              29 ?1             29
    0
    Therefore, \[\sqrt{529}=23\].                 (v) 3249                
    57
    5 \[\overline{32}\]         \[\overline{49}\] -25
    107 7              49 ?7             49
    0
                    Therefore, \[\sqrt{3249}\,=57\].                 (vi) 1369
    37
    3 \[\overline{13}\]         \[\overline{69}\] ?9
    67 4              69 ?4             69
    0
                    Therefore, \[\sqrt{1369}\,=37\].                 (vii) 5776
    76
    7 \[\overline{57}\]         \[\overline{76}\] ?49
    146 8              76 ?8             76
    0
                    (viii) 7921
    89
    8 \[\overline{79}\]         \[\overline{21}\] ?64
    169 15           21 ?15          21
    0
                    Therefore,\[\sqrt{7921}=89\].                 (ix) 576                                
    24
    2 \[\overline{5}\]         \[\overline{76}\] ?4
    44 1           76 ?1         76
    0
                    Therefore, \[\sqrt{576}=24\]. (x) 1024
    32
    3 \[\overline{10}\]         \[\overline{24}\] ? 9
    62 1            24 ?1           24
    0
    Therefore, \[\sqrt{1024}\,=32\].                 (xi) 3136                                              
    5             6
    5 \[\overline{31}\]         \[\overline{36}\] ?25
    106 6            36 ?6           36
    0
    Therefore, \[\sqrt{3136}=56\]. (xii) 900                
      30
    \[\overline{9}\]         \[\overline{00}\] ?9
    60 00 ?00
    0
    Therefore, \[\sqrt{900}=30\].


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