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Which of the following numbers is greater than 2 and less than 3?निम्नलिखित में से कौन-सी संख्या 2 से बड़ी और 3 से छोटी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\sqrt{6}\)\(\sqrt{6}\)
Since \(2^2=4\) and \(3^2=9\), and \(4<6<9\), it follows that \(2<\sqrt{6}<3\). Therefore, \(\sqrt{6}\) is correct. Exam tip: for positive numbers, compare the numbers under the square roots with the squares of the given bounds.\(2^2=4\) और \(3^2=9\) होते हैं। क्योंकि \(4<6<9\), इसलिए \(2<\sqrt{6}<3\)। अतः सही उत्तर \(\sqrt{6}\) है। ध्यान रखें कि धनात्मक संख्याओं के लिए वर्गों की तुलना करके वर्गमूलों का क्रम निर्धारित किया जा सकता है।
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