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How can the point representing \(\sqrt{2}\) on the number line be classified?संख्या रेखा पर
\(\sqrt{2}\) का स्थान किस प्रकार की संख्या के रूप में चिन्हित किया जा सकता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: An irrational number located between 1 and 2An irrational number located between 1 and 2
Since \(1^2=1\) and \(2^2=4\), \(\sqrt{2}\) lies between 1 and 2. As 2 is not a perfect square, \(\sqrt{2}\) is irrational, not a midpoint or an integer. Exam tip: compare neighbouring squares to locate roots.\(1^2=1\) और \(2^2=4\) है, इसलिए \(\sqrt{2}\) 1 और 2 के बीच स्थित है। 2 पूर्ण वर्ग नहीं है, अतः \(\sqrt{2}\) अपरिमेय है। परीक्षा में वर्गों की तुलना करके उसका स्थान पहचानें।
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