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Which is greater: \(\sqrt{63}\) or \(8\)?\(\sqrt{63}\) और \(8\) में से कौन बड़ा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(8\)\(8\)
Since \(63<64\), we have \(\sqrt{63}<\sqrt{64}=8\). Therefore, \(8\) is greater. Option A is incorrect because \(\sqrt{63}\) is slightly less than 8, and option C is incorrect because the two numbers are not equal. Exam tip: For non-negative numbers, comparing their squares is a quick way to compare their square roots.क्योंकि \(63<64\), इसलिए \(\sqrt{63}<\sqrt{64}=8\)। अतः \(8\) बड़ा है। विकल्प A गलत है क्योंकि \(\sqrt{63}\), 8 से थोड़ा छोटा है; विकल्प C भी गलत है क्योंकि दोनों संख्याएँ बराबर नहीं हैं। परीक्षा-युक्ति: धनात्मक संख्याओं के वर्गों की तुलना करके उनके वर्गमूलों का क्रम आसानी से निर्धारित किया जा सकता है।
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