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A student claims that \(\sqrt{3}=\frac{26}{15}\). Which of the following checks immediately proves that this claim is false?एक विद्यार्थी दावा करता है कि \(\sqrt{3}=\frac{26}{15}\) है। निम्नलिखित में से कौन-सी जाँच इस दावे को तुरंत गलत सिद्ध करती है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(26^2=676\), whereas \(3\times15^2=675\)\(26^2=676\), जबकि \(3\times15^2=675\)
If \(\sqrt{3}=\frac{26}{15}\), squaring both sides would give \(26^2=3\times15^2\). But \(676\ne675\), so the claim is false. Exam tip: verify a claimed square root fraction by squaring it.यदि \(\sqrt{3}=\frac{26}{15}\) होता, तो वर्ग करने पर \(26^2=3\times15^2\) मिलता। पर \(676\ne675\), इसलिए दावा गलत है। परीक्षा टिप: भिन्न वाले मूल के दावे को वर्ग करके जाँचें।
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