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Which number is smaller, \(\sqrt{23}\) or 5?\(\sqrt{23}\) और 5 में से कौन-सी संख्या छोटी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\sqrt{23}\)\(\sqrt{23}\)
Both numbers are positive, so we can compare their squares. We have \(5^2=25\) and \((\sqrt{23})^2=23\). Since \(23<25\), it follows that \(\sqrt{23}<5\). Therefore, \(\sqrt{23}\) is the smaller number. Exam tip: Squaring is a useful method for comparing positive numbers involving square roots.क्योंकि दोनों संख्याएँ धनात्मक हैं, इसलिए उनके वर्गों की तुलना की जा सकती है। \(5^2=25\) और \((\sqrt{23})^2=23\)। चूँकि \(23<25\), इसलिए \(\sqrt{23}<5\), अतः सही उत्तर \(\sqrt{23}\) है। परीक्षा युक्ति: धनात्मक संख्याओं की तुलना करते समय वर्ग करना उपयोगी होता है।
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