1
00:00:01,138 --> 00:00:05,317
Carikan punca kuasa 3 bagi (-512).

2
00:00:05,317 --> 00:00:08,615
Katakan jika nombor atau

3
00:00:08,615 --> 00:00:12,934
x = ³√ -512

4
00:00:12,934 --> 00:00:17,533
Jika 'x' dikuasakan 3;

5
00:00:17,533 --> 00:00:22,867
x³ = (-512).

6
00:00:29,667 --> 00:00:33,400
Kita akan melakukan Pemfaktoran Perdana

7
00:00:33,400 --> 00:00:38,243
atau "Prime Factorization" untuk mencari 
faktor persamaan ini.

8
00:00:38,243 --> 00:00:41,308
Kita mulakan dengan nombor negatif.

9
00:00:45,467 --> 00:00:51,664
(-512) = ³√(-1) x (512)

10
00:00:51,664 --> 00:00:54,822
Ataupun,

11
00:00:54,822 --> 00:01:04,333
(-512) = ³√-1 x ³√512

12
00:01:06,804 --> 00:01:09,600
Apakah nombor yang; 
bila dikuasakan 3 sama dengan (-1)?

13
00:01:09,600 --> 00:01:12,795
Jawapannya ialah (-1).

14
00:01:12,795 --> 00:01:20,000
(-1)³ = (-1) x (-1) x (-1)

15
00:01:20,000 --> 00:01:23,200
Maka, 
³√-1 = (-1)

16
00:01:23,200 --> 00:01:28,133
Kembali kepada persoalan tadi,

17
00:01:28,133 --> 00:01:33,400
(-1) x ³√ 512.

18
00:01:33,400 --> 00:01:35,782
Sekarang kita lakukan Pemfaktoran Perdana.

19
00:01:35,782 --> 00:01:41,000
512 = 2 x 256

20
00:01:41,000 --> 00:01:46,138
256 = 2 x 128

21
00:01:46,138 --> 00:01:49,575
128 = 2 x 64

22
00:01:49,575 --> 00:01:50,736
Gandaan 2 adalah 3 kali.

23
00:01:50,736 --> 00:01:56,727
64 = 2 x 32

24
00:01:56,727 --> 00:01:57,933
32 = 2 x 16

25
00:01:57,933 --> 00:01:59,652
Gandaan 2 semakin banyak.

26
00:01:59,652 --> 00:02:04,250
16 = 2 x 8

27
00:02:04,250 --> 00:02:09,823
8 = 2 x 4

28
00:02:09,823 --> 00:02:11,200
4 = 2 x 2

29
00:02:13,185 --> 00:02:18,800
Jika 2 didarabkan sebanyak 9 kali,

30
00:02:18,800 --> 00:02:21,200
jawapannya ialah 512.

31
00:02:21,200 --> 00:02:23,012
2^9 = 512

32
00:02:31,139 --> 00:02:33,786
Tapi kita perlu dapatkan gandaan 2 
sebanyak 3 kali.

33
00:02:41,800 --> 00:02:43,724
2 x 2 = 4

34
00:02:43,724 --> 00:02:44,699
2 x 2 = 4

35
00:02:44,699 --> 00:02:48,600
Niliai 4³ boleh dibahagikan dengan 512.

36
00:02:48,600 --> 00:02:55,000
Cara yang lebih mudah ialah
carikan 2³ sebanyak 3 kali.

37
00:02:55,000 --> 00:02:59,791
Jadi kita dapat 1..,2..dan 3 kumpulan.

38
00:03:01,806 --> 00:03:02,996
Dalam setiap kumpulan ini,

39
00:03:02,996 --> 00:03:05,400
nilai bagi 2³ = 8

40
00:03:06,712 --> 00:03:08,244
Nilai ini juga 8,

41
00:03:10,473 --> 00:03:11,402
di sini juga 8.

42
00:03:11,402 --> 00:03:14,932
Maka, kita boleh tuliskan sebagai

43
00:03:14,932 --> 00:03:18,200
512 = 8 x 8 x 8

44
00:03:18,200 --> 00:03:20,733
Persamaan ini juga boleh ditulis sebagai

45
00:03:20,733 --> 00:03:24,823
³√8 x 8 x 8

46
00:03:24,823 --> 00:03:26,200
sama dengan (-1).

47
00:03:28,074 --> 00:03:29,653
Juga sama dengan

48
00:03:29,653 --> 00:03:36,267
(- ³√8 x 8 x 8)

49
00:03:37,734 --> 00:03:40,400
Jadi, nombor yang apabila dikuasakan 3

50
00:03:40,400 --> 00:03:42,981
sama dengan 512, ialah

51
00:03:42,981 --> 00:03:45,000
8 x 8 x 8.

52
00:03:50,458 --> 00:03:52,467
Kesimpulannya,

53
00:03:52,467 --> 00:03:58,400
³√-512 = (-8)

54
00:03:58,400 --> 00:03:59,792
Kita sudah dapat jawapannya.

55
00:03:59,792 --> 00:04:01,139
Anda boleh buktikannya.

56
00:04:01,139 --> 00:04:03,786
Darabkan (-8) sebanyak 3 kali,

57
00:04:05,133 --> 00:04:08,988
(-8) x (-8) x (-8)

58
00:04:08,988 --> 00:04:11,728
(-8) x (-8) = 64,

59
00:04:11,728 --> 00:04:14,235
darabkan dengan (-8)

60
00:04:14,235 --> 00:04:18,000
64 x (-8) = 512