2.2 Kiyuubotaafi Kiyuub-ruuttota
1. Kaayyoo Barumsaa
- Kiyuubii lakkoofsa tokkoo ni barbaadu.
- Kiyuub-ruuttii (Cube Root) lakkoofsa tokkoo adda ni baasu.
- Amaloota kiyuubotaafi kiyuub-ruuttotaa ni hubatu.
2. Yaadannoo (Key Notes)
- Kiyuubii (Cube): Lakkoofsa x si'a sadii walitti baay'isuudha: x3 = x × x × x.
- Kiyuub-ruuttii (Cube Root): Lakkoofsa si'a sadii walitti baay'atee lakkoofsa kenname sana kennuudha. Mallattoon isaa 3√ dha.
- Kiyuubii Guutuu (Perfect Cube): Lakkoofsa kiyuub ruuttiin isaa lakkoofsa guutuu ta'edha (fkn: 1, 8, 27, 64, 125...).
- Lakkoofsi negaatiiviin kiyuubii negaatiivii qaba, kiyuub ruuttiin isaas negaatiivii ta'uu danda'a.
3. Fakkeenyota (Examples)
1. Kiyuubii 3 barbaadi.
Deebii: 33 = 3 × 3 × 3 = 27.
Deebii: 33 = 3 × 3 × 3 = 27.
2. 3√64 barbaadi.
Deebii: 4 × 4 × 4 = 64 waan ta'eef, 3√64 = 4.
Deebii: 4 × 4 × 4 = 64 waan ta'eef, 3√64 = 4.
3. Kiyuubii (-2) barbaadi.
Deebii: (-2)3 = (-2) × (-2) × (-2) = -8.
Deebii: (-2)3 = (-2) × (-2) × (-2) = -8.
4. 3√125 barbaadi.
Deebii: 5 × 5 × 5 = 125 waan ta'eef, 3√125 = 5.
Deebii: 5 × 5 × 5 = 125 waan ta'eef, 3√125 = 5.
5. Kiyuubii 10 barbaadi.
Deebii: 103 = 10 × 10 × 10 = 1000.
Deebii: 103 = 10 × 10 × 10 = 1000.
4. Gaaffilee Shaakalaafi Ibsa (15)
1. 43 meeqa?
Deebii: 64Ibsa: 4 × 4 × 4 = 64.
2. 3√8 meeqa?
Deebii: 2Ibsa: 2 × 2 × 2 = 8 waan ta'eef.
3. 53 meeqa?
Deebii: 125Ibsa: 5 × 5 × 5 = 125.
4. 3√27 + 3√1 meeqa?
Deebii: 4Ibsa: 3 + 1 = 4.
5. (-1)3 meeqa?
Deebii: -1Ibsa: (-1) × (-1) × (-1) = -1.
6. 23 + 33 meeqa?
Deebii: 35Ibsa: 8 + 27 = 35.
7. 3√1000 meeqa?
Deebii: 10Ibsa: 10 × 10 × 10 = 1000.
8. 63 meeqa?
Deebii: 216Ibsa: 6 × 6 × 6 = 216.
9. 3√0 meeqa?
Deebii: 0Ibsa: 0 × 0 × 0 = 0.
10. (-3)3 meeqa?
Deebii: -27Ibsa: (-3) × (-3) × (-3) = -27.
11. Kiyuub Ruuttiin 216 meeqa?
Deebii: 6Ibsa: 6 × 6 × 6 = 216.
12. 3√64 - 3√8 meeqa?
Deebii: 2Ibsa: 4 - 2 = 2.
13. 13 + 03 meeqa?
Deebii: 1Ibsa: 1 + 0 = 1.
14. 3√-27 meeqa?
Deebii: -3Ibsa: (-3) × (-3) × (-3) = -27.
15. 73 meeqa?
Deebii: 343Ibsa: 7 × 7 × 7 = 343.