1
00:00:00,506 --> 00:00:09,049
Carikan Punca Kuasa Prinsipal atau 
Punca Kuasa Positif bagi √45.

2
00:00:09,141 --> 00:00:12,969
Selesaikan tanpa menggunakan kalkulator.

3
00:00:12,969 --> 00:00:13,570
Kita cuba kaedah penghampiran

4
00:00:13,570 --> 00:00:15,234
melalui pengiraan biasa.

5
00:00:22,003 --> 00:00:28,419
√45 bukan suatu bentuk kuasa dua sempurna.

6
00:00:30,526 --> 00:00:39,677
Carikan nombor kuasa dua sempurna 
yang hampir kepada √45.

7
00:00:39,677 --> 00:00:43,340
√45 < √49, 
√49 = 7

8
00:00:43,340 --> 00:00:53,602
√36 < √45,
√36 = 6

9
00:00:53,602 --> 00:01:05,954
√49 = 7
Maka nilainya diantara 6 dan 7.

10
00:01:05,954 --> 00:01:20,508
45 kurang 4 dari 49,dan
lebih 9 dari 36.

11
00:01:20,508 --> 00:01:27,879
Jarak antara 6² dan 7² ialah 13.

12
00:01:27,879 --> 00:01:33,843
Ini cuma penghampiran saja

13
00:01:33,843 --> 00:01:43,770
tapi yang pasti, 
nilainya menghampiri 7 berbanding 6.

14
00:01:43,770 --> 00:02:00,529
Jadi, cuba kira dengan nilai 6.7 kerana nilainya hampir 2/3 dari 7.

15
00:02:00,560 --> 00:02:03,153
Kaedah Penghampiran juga boleh dicuba.

16
00:02:03,153 --> 00:02:13,634
Berapakah nilai 9/13 dalam bentuk perpuluhan?

17
00:02:13,634 --> 00:02:23,500
9 bukan hasil darab 13.
90 ialah hasil darab 13,mungkin sebanyak 6 kali.

18
00:02:37,972 --> 00:02:39,726
Nilainya menghampiri 0.7,

19
00:02:59,307 --> 00:03:01,648
iaitu lebih kurang 0.69

20
00:03:01,695 --> 00:03:10,044
9/13 ialah 0.69 antara 36 dan 49,

21
00:03:10,044 --> 00:03:14,421
maka 0.69 antara 6 dan 7

22
00:03:14,421 --> 00:03:21,251
boleh dianggarkan bernilai

23
00:03:21,251 --> 00:03:28,236
sebanyak 6.7.

24
00:03:30,100 --> 00:03:40,221
Cari nilai bagi 6.7 x 6.7

25
00:03:40,221 --> 00:03:43,419
7 x 7 = 49

26
00:03:43,419 --> 00:03:48,219
7x 6 = 42,
42 + 4 = 46

27
00:03:48,219 --> 00:03:54,039
Letakkan nilai '0' untuk pengiraan sebelah kiri.

28
00:03:54,039 --> 00:03:58,945
6 x 7 = 42

29
00:03:58,945 --> 00:04:00,367
bawa 4 ke atas,

30
00:04:00,367 --> 00:04:03,301
6 x 6 = 36,
36 + 4 = 40

31
00:04:03,301 --> 00:04:05,567
Maka,
9 + 0 = 9,

32
00:04:05,567 --> 00:04:07,033
6 + 2 = 8

33
00:04:07,033 --> 00:04:10,960
4 + 0 = 4,
disini juga 4.

34
00:04:10,960 --> 00:04:12,968
Ada 2 nombor selepas titik perpuluhan.

35
00:04:14,368 --> 00:04:17,036
Jawapannya ialah 44.89

36
00:04:17,036 --> 00:04:22,242
Nilainya menghampiri 45.

37
00:04:26,833 --> 00:04:39,701
Tapi masih kurang dari √45.

38
00:04:39,701 --> 00:04:53,013
Mari cuba dengan nilai 6.71 pula,

39
00:04:53,013 --> 00:04:54,386
kerana jawapan tadi hampir dengan 45.

40
00:04:57,901 --> 00:05:02,170
Kirakan nilainya tanpa menggunakan kalkulator.

41
00:05:02,170 --> 00:05:04,366
Maka jawapannya ialah 450,241

42
00:06:06,330 --> 00:06:07,500
Kita ada 4 nombor selepas titik perpuluhan.

43
00:06:12,967 --> 00:06:19,569
Jadi 6.71² = 45.0241

44
00:06:19,569 --> 00:06:22,940
dan lebih besar dari 45.

45
00:06:24,568 --> 00:06:34,636
6.7 < √45 < 6.71

46
00:06:34,636 --> 00:06:38,295
berdasarkan pengiraan tadi.

47
00:06:38,295 --> 00:06:42,068
Tapi jika diperhatikan,

48
00:06:42,068 --> 00:06:56,101
6.7² kurang 0.11 daripada 45,

49
00:06:56,101 --> 00:07:06,100
6.71² cuma lebih 0.024 dari 45,

50
00:07:06,100 --> 00:07:10,100
maka 6.71 menghampiri nilai √45.