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Between which two consecutive integers should \(\sqrt{18}\) be represented on the number line?संख्या रेखा पर \(\sqrt{18}\) को किन दो क्रमागत पूर्णांकों के बीच दर्शाया जाना चाहिए?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 4 and 54 और 5
Since \(4^2=16<18<25=5^2\), it follows that \(4<\sqrt{18}<5\). Therefore, \(\sqrt{18}\) lies between 4 and 5 on the number line. Option B is incorrect because \(\sqrt{18}>4\). Exam tip: compare the number with the nearest consecutive perfect squares to locate its square root.क्योंकि \(4^2=16<18<25=5^2\), इसलिए \(4<\sqrt{18}<5\)। अतः \(\sqrt{18}\) संख्या रेखा पर 4 और 5 के बीच स्थित होगा। विकल्प B गलत है, क्योंकि \(\sqrt{18}>4\)। परीक्षा में वर्गमूल का अंतराल ज्ञात करने के लिए उसके निकटतम पूर्ण वर्गों की तुलना करें।
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