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Find the prime factors of 244036 and 103823. Hence, evaluate sqrt(244036)/cbrt(103823).
Mathematics
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2 partsStep-by-step solution
8 stepsHuu hapa ni utatuzi wa swali lako:
Part a· 5 steps
Tafuta vigawo vikuu vya 244036 na 103823
Kwa 244036:
Anza kugawanya kwa nambari kuu ndogo zaidi.
Endelea na nambari kuu zinazofuata.
61009 haigawanyiki kwa 3, 5, 7, 11. Jaribu 13.
Tambua nambari kuu iliyobaki.
361 ni mraba wa 19.
Hivyo, vigawo vikuu vya 244036 ni .
Katika fomu ya vipeo: .Kwa 103823:
Anza kugawanya kwa nambari kuu.
103823 haigawanyiki kwa 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43. Jaribu 47.
Endelea kugawanya.
2209 ni mraba wa 47.
Hivyo, vigawo vikuu vya 103823 ni .
Katika fomu ya vipeo: .Vigawo vikuu ni:
Part b
Kwa hivyo, tathmini
Tafuta mzizi wa pili wa 244036.
Kutoka sehemu (a), .
Tafuta mzizi wa tatu wa 103823.
Kutoka sehemu (a), .
Gawanya matokeo.
Kama sehemu, jibu ni .
Thamani ya usemi ni .
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