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Which of \(\sqrt{35}\) and \(6\) is smaller?\(\sqrt{35}\) और \(6\) में से कौन-सी संख्या छोटी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\sqrt{35}\)\(\sqrt{35}\)
Since \(6=\sqrt{36}\) and \(35<36\), we get \(\sqrt{35}<\sqrt{36}=6\). Therefore, \(\sqrt{35}\) is smaller. Option A is incorrect because \(6\) is the larger number. In such questions, compare the number under the square root with nearby perfect squares.क्योंकि \(6=\sqrt{36}\) और \(35<36\), इसलिए \(\sqrt{35}<\sqrt{36}=6\)। अतः छोटी संख्या \(\sqrt{35}\) है। विकल्प A गलत है क्योंकि वह बड़ी संख्या \(6\) को दर्शाता है। परीक्षा में ऐसे प्रश्नों में अपरिमेय संख्या की तुलना उसके निकटवर्ती पूर्ण वर्ग से करना उपयोगी होता है।
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