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Which of the following numbers represents an irrational point lying between 3 and 4 on the number line?निम्नलिखित में से कौन-सी संख्या संख्या रेखा पर 3 और 4 के बीच स्थित एक अपरिमेय बिंदु को दर्शाती है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\sqrt{10}\)\(\sqrt{10}\)
Since \(9<10<16\), we get \(3<\sqrt{10}<4\). As 10 is not a perfect square, \(\sqrt{10}\) is irrational. \(\frac{13}{4}\) lies in the interval but is rational. Exam tip: compare nearby perfect squares.क्योंकि \(9<10<16\), इसलिए \(3<\sqrt{10}<4\)। 10 पूर्ण वर्ग नहीं है, अतः \(\sqrt{10}\) अपरिमेय है। \(\frac{13}{4}\) बीच में है, पर परिमेय है। परीक्षा टिप: निकटवर्ती पूर्ण वर्गों की तुलना करें।
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