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Between which two consecutive integers does \(1+\sqrt{2}\) lie on the number line?संख्या रेखा पर \(1+\sqrt{2}\) किन दो क्रमागत पूर्णांकों के बीच स्थित होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 2 and 32 और 3
The value of \(\sqrt{2}\) is approximately \(1.414\). Therefore, \(1+\sqrt{2}\approx 1+1.414=2.414\), which lies between 2 and 3. Hence, option B is correct. Exam tip: For such questions, estimate the irrational number first and then identify the consecutive integers containing the result.\(\sqrt{2}\) का मान लगभग \(1.414\) है। इसलिए \(1+\sqrt{2}\approx 1+1.414=2.414\), जो 2 और 3 के बीच है। अतः सही विकल्प B है। परीक्षा में ऐसे प्रश्नों के लिए अपरिमेय संख्या का दशमलव सन्निकटन लेकर निकटतम क्रमागत पूर्णांकों की जाँच करें।
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