Question
Download Solution PDF2250 के कितने गुणनखंडों का वर्गमूल एक प्राकृतिक संख्या होगी?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFउपयोग की गई अवधारणा:
इस प्रकार के प्रश्न में, यदि गुणज स्वयं एक पूर्ण वर्ग है तो गुणजों का वर्गमूल केवल प्राकृतिक संख्या होगी।
हल:
संख्या 2250 को इस रूप में व्यक्त किया जा सकता है = 2 × 32 × 53
∴ केवल 4 गुणज हैं 1, 32, 52, (3 × 5)2 जिसका वर्गमूल एक प्राकृतिक संख्या होगी।Last updated on Jun 2, 2025
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