Question
Download Solution PDFयदि p और q सह-अभाज्य हैं, तो p7 और q9 हैं:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:-
p और q सह-अभाज्य हैं।
गणना:-
हम जानते हैं कि सह-अभाज्य संख्याओं में कोई भी गुणनखंड उभयनिष्ठ नहीं होता है, या, उनका महत्तम समापवर्तक 1 होता है।
इस प्रकार, p7 और q9 के क्रमशः p और q के घातांक के साथ समान गुणनखंड हैं, जिनमें पुनः कोई उभयनिष्ठ गुणनखंड नहीं होगा।
इस प्रकार हम यह निष्कर्ष निकाल सकते हैं कि p7 और q9 सह-अभाज्य संख्याएँ और भाज्य संख्याएँ हैं।
Last updated on Jun 2, 2025
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