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Which relation between \(\sqrt{8}\) and \(3\) on the number line is correct?संख्या रेखा पर \(\sqrt{8}\) और \(3\) के बीच सही संबंध कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\sqrt{8}<3\)\(\sqrt{8}<3\)
Since \(3^2=9\) and \(8<9\), we get \(\sqrt{8}<\sqrt{9}=3\). Therefore, \(\sqrt{8}\) lies to the left of 3 on the number line. Option B is incorrect because \(\sqrt{8}\) is not equal to \(\sqrt{9}\). Exam tip: For positive numbers, compare their squares to determine their order.क्योंकि \(3^2=9\) और \(8<9\), इसलिए \(\sqrt{8}<\sqrt{9}=3\) होगा। अतः संख्या रेखा पर \(\sqrt{8}\), 3 के बाईं ओर स्थित है। विकल्प B गलत है क्योंकि \(\sqrt{8}\), \(\sqrt{9}\) के बराबर नहीं है। परीक्षा-युक्ति: धनात्मक संख्याओं की तुलना करने के लिए उनके वर्गों की तुलना करें।
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