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Between which two consecutive integers does \(2-\sqrt{2}\) lie approximately on the number line?संख्या रेखा पर \(2-\sqrt{2}\) लगभग किन दो क्रमागत पूर्णांकों के बीच स्थित होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 0 and 10 और 1
Since \(\sqrt{2}\approx 1.414\), we get \(2-\sqrt{2}\approx 2-1.414=0.586\). This value lies between \(0\) and \(1\). Option C is incorrect because \(2-\sqrt{2}\) is less than \(1\). Exam tip: estimate the irrational number first, perform the operation, and then identify the consecutive integers on either side of the result.\(\sqrt{2}\approx 1.414\), इसलिए \(2-\sqrt{2}\approx 2-1.414=0.586\)। यह संख्या \(0\) और \(1\) के बीच है। विकल्प C गलत है क्योंकि \(2-\sqrt{2}\), \(1\) से छोटा है। परीक्षा-युक्ति: पहले अपरिमेय संख्या का दशमलव सन्निकटन ज्ञात करके घटाएँ और फिर प्राप्त मान के दोनों ओर के क्रमागत पूर्णांक पहचानें।
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